रेखा \(y=\frac{5}{4}x-2\) में (x) के (12) बढ़ने पर (y) कितना बढ़ेगा?
In the line \(y=\frac{5}{4}x-2\), how much will (y) increase when (x) increases by (12)?
#fraction_slope
#rate_of_change
#total_change
A (12)
B (15)
C (20)
D (5)
Explanation opens after your attempt
Explanation
Simple Explanation
ढाल \(\frac{5}{4}\) है। परिवर्तन \(\frac{5}{4}\times12=15\) होगा। / The slope is \(\frac{5}{4}\). The change will be \(\frac{5}{4}\times12=15\).
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रेखा (y=-6x+18) में (x) (2) से (6) तक बढ़े तो (y) में कुल परिवर्तन क्या होगा?
In the line (y=-6x+18), what is the total change in (y) when (x) increases from (2) to (6)?
#total_change
#negative_slope
#rate_of_change
A (24) बढ़ेगा / Increases by (24)
B (18) घटेगा / Decreases by (18)
C (24) घटेगा / Decreases by (24)
D (6) घटेगा / Decreases by (6)
Explanation opens after your attempt
Correct Answer
C. (24) घटेगा / Decreases by (24)
Explanation
Simple Explanation
(x) में परिवर्तन (6-2=4) है। (y) का परिवर्तन \(-6\times4=-24\) है। / The change in (x) is (6-2=4). The change in (y) is \(-6\times4=-24\).
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रेखा \(y=\frac{3}{4}x+2\) में (x) के (8) बढ़ने पर (y) कितना बढ़ेगा?
In the line \(y=\frac{3}{4}x+2\), how much will (y) increase when (x) increases by (8)?
#fraction_slope
#rate_of_change
#total_change
A (3)
B (6)
C (8)
D (11)
Explanation opens after your attempt
Explanation
Simple Explanation
ढाल \(\frac{3}{4}\) है। परिवर्तन \(\frac{3}{4}\times8=6\) होगा। / The slope is \(\frac{3}{4}\). The change will be \(\frac{3}{4}\times8=6\).
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रेखा \(y=-\frac{5}{6}x+11\) में (x) के (12) बढ़ने पर (y) कितना घटेगा?
In the line \(y=-\frac{5}{6}x+11\), how much will (y) decrease when (x) increases by (12)?
#fraction_slope
#negative_slope
#total_change
A (5)
B (6)
C (10)
D (12)
Explanation opens after your attempt
Explanation
Simple Explanation
ढाल \(-\frac{5}{6}\) है। परिवर्तन \(-\frac{5}{6}\times12=-10\) है इसलिए कमी (10) है। / The slope is \(-\frac{5}{6}\). The change is \(-\frac{5}{6}\times12=-10\), so the decrease is (10).
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रेखा \(y=\frac{7}{3}x-4\) में (x) के (3) बढ़ने पर (y) कितना बढ़ेगा?
In the line \(y=\frac{7}{3}x-4\), how much will (y) increase when (x) increases by (3)?
#fraction_slope
#total_change
#rate_of_change
A (3)
B (7)
C (4)
D (10)
Explanation opens after your attempt
Explanation
Simple Explanation
ढाल \(\frac{7}{3}\) है। परिवर्तन \(\frac{7}{3}\times3=7\) होगा। / The slope is \(\frac{7}{3}\). The change will be \(\frac{7}{3}\times3=7\).
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रेखा (y=-4x+19) में (x) के (6) बढ़ने पर (y) में क्या परिवर्तन होगा?
In the line (y=-4x+19), what change will occur in (y) when (x) increases by (6)?
#negative_slope
#rate_of_change
#total_change
A (24) बढ़ेगा / Increases by (24)
B (19) घटेगा / Decreases by (19)
C (24) घटेगा / Decreases by (24)
D (6) घटेगा / Decreases by (6)
Explanation opens after your attempt
Correct Answer
C. (24) घटेगा / Decreases by (24)
Explanation
Simple Explanation
ढाल (-4) है। परिवर्तन \(-4\times6=-24\) है इसलिए (y) (24) घटेगा। / The slope is (-4). The change is \(-4\times6=-24\), so (y) decreases by (24).
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रेखा (y=7x+2) में (x) के (5) बढ़ने पर (y) कितना बढ़ेगा?
In the line (y=7x+2), how much will (y) increase when (x) increases by (5)?
#rate_of_change
#total_change
#slope
A (12)
B (35)
C (7)
D (5)
Explanation opens after your attempt
Explanation
Simple Explanation
ढाल (7) है। (x) में (5) की वृद्धि से (y) \(7\times5=35\) बढ़ेगा। / The slope is (7). An increase of (5) in (x) makes (y) increase by \(7\times5=35\).
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रेखा (y=-5x+16) में (x) (1) से (5) तक बढ़े तो (y) में कुल परिवर्तन क्या होगा?
In the line (y=-5x+16), what is the total change in (y) when (x) increases from (1) to (5)?
#total_change
#negative_slope
#rate_of_change
A (20) बढ़ेगा / Increases by (20)
B (16) घटेगा / Decreases by (16)
C (20) घटेगा / Decreases by (20)
D (5) घटेगा / Decreases by (5)
Explanation opens after your attempt
Correct Answer
C. (20) घटेगा / Decreases by (20)
Explanation
Simple Explanation
(x) में परिवर्तन (5-1=4) है। (y) का परिवर्तन \(-5\times4=-20\) है। / The change in (x) is (5-1=4). The change in (y) is \(-5\times4=-20\).
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रेखा \(y=\frac{2}{3}x+1\) में (x) के (9) बढ़ने पर (y) कितना बढ़ेगा?
In the line \(y=\frac{2}{3}x+1\), how much will (y) increase when (x) increases by (9)?
#fraction_slope
#rate_of_change
#total_change
A (3)
B (6)
C (9)
D (12)
Explanation opens after your attempt
Explanation
Simple Explanation
ढाल \(\frac{2}{3}\) है। परिवर्तन \(\frac{2}{3}\times9=6\) होगा। / The slope is \(\frac{2}{3}\). The change will be \(\frac{2}{3}\times9=6\).
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रेखा \(y=-\frac{3}{4}x+6\) में (x) के (8) बढ़ने पर (y) कितना घटेगा?
In the line \(y=-\frac{3}{4}x+6\), how much will (y) decrease when (x) increases by (8)?
#fraction_slope
#negative_slope
#total_change
A (3)
B (4)
C (6)
D (8)
Explanation opens after your attempt
Explanation
Simple Explanation
ढाल \(-\frac{3}{4}\) है। परिवर्तन \(-\frac{3}{4}\times8=-6\) है इसलिए कमी (6) है। / The slope is \(-\frac{3}{4}\). The change is \(-\frac{3}{4}\times8=-6\), so the decrease is (6).
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रेखा \(y=\frac{5}{2}x-7\) में (x) के (2) बढ़ने पर (y) कितना बढ़ेगा?
In the line \(y=\frac{5}{2}x-7\), how much will (y) increase when (x) increases by (2)?
#fraction_slope
#total_change
#rate_of_change
A (2)
B (5)
C (7)
D (10)
Explanation opens after your attempt
Explanation
Simple Explanation
ढाल \(\frac{5}{2}\) है। परिवर्तन \(\frac{5}{2}\times2=5\) होगा। / The slope is \(\frac{5}{2}\). The change will be \(\frac{5}{2}\times2=5\).
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रेखा (y=-6x+20) में (x) के (3) बढ़ने पर (y) में क्या परिवर्तन होगा?
In the line (y=-6x+20), what change will occur in (y) when (x) increases by (3)?
#negative_slope
#rate_of_change
#total_change
A (18) बढ़ेगा / Increases by (18)
B (20) घटेगा / Decreases by (20)
C (18) घटेगा / Decreases by (18)
D (3) घटेगा / Decreases by (3)
Explanation opens after your attempt
Correct Answer
C. (18) घटेगा / Decreases by (18)
Explanation
Simple Explanation
ढाल (-6) है। परिवर्तन \(-6\times3=-18\) है इसलिए (y) (18) घटेगा। / The slope is (-6). The change is \(-6\times3=-18\), so (y) decreases by (18).
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रेखा (y=5x+1) में (x) के (4) बढ़ने पर (y) कितना बढ़ेगा?
In the line (y=5x+1), how much will (y) increase when (x) increases by (4)?
#rate_of_change
#total_change
#slope
A (9)
B (20)
C (5)
D (4)
Explanation opens after your attempt
Explanation
Simple Explanation
ढाल (5) है। (x) में (4) की वृद्धि से (y) \(5\times4=20\) बढ़ेगा। / The slope is (5). An increase of (4) in (x) makes (y) increase by \(5\times4=20\).
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रेखा \(y=\frac{1}{4}x+6\) में (x) के (8) बढ़ने पर (y) कितना बढ़ेगा?
In the line \(y=\frac{1}{4}x+6\), how much will (y) increase when (x) increases by (8)?
#fraction_slope
#rate_of_change
#total_change
A (1)
B (2)
C (6)
D (8)
Explanation opens after your attempt
Explanation
Simple Explanation
ढाल \(\frac{1}{4}\) है। परिवर्तन \(\frac{1}{4}\times8=2\) होगा। / The slope is \(\frac{1}{4}\). The change will be \(\frac{1}{4}\times8=2\).
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रेखा \(y=-\frac{5}{3}x+7\) में (x) के (3) बढ़ने पर (y) कितना बदलेगा?
In the line \(y=-\frac{5}{3}x+7\), how much will (y) change when (x) increases by (3)?
#fraction_slope
#negative_slope
#total_change
A (5) बढ़ेगा / Increases by (5)
B (3) घटेगा / Decreases by (3)
C (5) घटेगा / Decreases by (5)
D (7) घटेगा / Decreases by (7)
Explanation opens after your attempt
Correct Answer
C. (5) घटेगा / Decreases by (5)
Explanation
Simple Explanation
ढाल \(-\frac{5}{3}\) है। (3) की वृद्धि पर परिवर्तन \(-\frac{5}{3}\times3=-5\) है। / The slope is \(-\frac{5}{3}\). For an increase of (3), the change is \(-\frac{5}{3}\times3=-5\).
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रेखा \(y=\frac{3}{2}x-4\) में (x) के (2) बढ़ने पर (y) कितना बढ़ेगा?
In the line \(y=\frac{3}{2}x-4\), how much will (y) increase when (x) increases by (2)?
#fraction_slope
#rate_of_change
#total_change
A (2)
B (3)
C \(\frac{3}{2}\)
D (4)
Explanation opens after your attempt
Explanation
Simple Explanation
ढाल \(\frac{3}{2}\) है। (2) की वृद्धि पर परिवर्तन \(\frac{3}{2}\times2=3\) है। / The slope is \(\frac{3}{2}\). For an increase of (2), the change is \(\frac{3}{2}\times2=3\).
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रेखा (y=-3x+14) में (x) के (4) बढ़ने पर (y) में कितना परिवर्तन होगा?
In the line (y=-3x+14), what will be the change in (y) when (x) increases by (4)?
#negative_slope
#rate_of_change
#total_change
A (12) बढ़ेगा / Increases by (12)
B (14) घटेगा / Decreases by (14)
C (4) घटेगा / Decreases by (4)
D (12) घटेगा / Decreases by (12)
Explanation opens after your attempt
Correct Answer
D. (12) घटेगा / Decreases by (12)
Explanation
Simple Explanation
ढाल (-3) है। (x) में (4) की वृद्धि से (y) में \(-3\times4=-12\) का परिवर्तन होगा। / The slope is (-3). An increase of (4) in (x) gives change \(-3\times4=-12\) in (y).
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रेखा (y=2x+5) में (x) के (3) बढ़ने पर (y) कितना बढ़ेगा?
In the line (y=2x+5), how much will (y) increase when (x) increases by (3)?
#slope
#rate_of_change
#total_change
A (2)
B (5)
C (6)
D (3)
Explanation opens after your attempt
Explanation
Simple Explanation
ढाल (2) है इसलिए परिवर्तन \(2\times3=6\) होगा। ढाल को (x) के बदलाव से गुणा करें। / The slope is (2), so the change is \(2\times3=6\). Multiply slope by the change in (x).
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यदि (y=420-bx) में (x=8) से (x=16) तक (y) (152) घटता है, तो (b) क्या है?
If in (y=420-bx), (y) decreases by (152) from (x=8) to (x=16), what is (b)?
#linear_decay
#find_rate
#total_change
A (17)
B (18)
C (19)
D (20)
Explanation opens after your attempt
Explanation
Simple Explanation
(x) में परिवर्तन (8) है। कुल कमी (8b=152) है इसलिए (b=19) है। / The change in (x) is (8). The total decrease is (8b=152), so (b=19).
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यदि (y=220+ax) में (x=9) से (x=17) तक (y) (144) बढ़ता है, तो (a) क्या है?
If in (y=220+ax), (y) increases by (144) from (x=9) to (x=17), what is (a)?
#linear_growth
#find_rate
#total_change
A (16)
B (17)
C (18)
D (20)
Explanation opens after your attempt
Explanation
Simple Explanation
(x) में परिवर्तन (8) है। (8a=144) से (a=18) मिलता है। / The change in (x) is (8). From (8a=144), (a=18).
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यदि (y=480-30x), तो (y) में (210) की कमी के लिए (x) कितना बढ़ना चाहिए?
If (y=480-30x), by how much should (x) increase for (y) to decrease by (210)?
#linear_decay
#change_in_x
#total_change
A (5)
B (6)
C (7)
D (8)
Explanation opens after your attempt
Explanation
Simple Explanation
कुल कमी \(30\Delta x\) होगी। \(30\Delta x=210\) से \(\Delta x=7\) मिलता है। / The total decrease is \(30\Delta x\). From \(30\Delta x=210\), \(\Delta x=7\).
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यदि (y=96+24x), तो (x) में कितनी वृद्धि करने पर (y) (192) बढ़ेगा?
If (y=96+24x), by how much must (x) increase for (y) to increase by (192)?
#linear_growth
#change_in_x
#total_change
A (6)
B (7)
C (8)
D (9)
Explanation opens after your attempt
Explanation
Simple Explanation
कुल वृद्धि \(24\Delta x\) होगी। \(24\Delta x=192\) से \(\Delta x=8\) मिलता है। / The total increase is \(24\Delta x\). From \(24\Delta x=192\), \(\Delta x=8\).
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यदि (y=190-7.5x), तो (x=3) से (x=11) तक (y) में कुल कमी कितनी होगी?
If (y=190-7.5x), what is the total decrease in (y) from (x=3) to (x=11)?
#linear_decay
#decimal_rate
#total_change
A (52)
B (56)
C (60)
D (64)
Explanation opens after your attempt
Explanation
Simple Explanation
(x) में परिवर्तन (11-3=8) है। कुल कमी \(7.5\times8=60\) है। / The change in (x) is (11-3=8). The total decrease is \(7.5\times8=60\).
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यदि (y=28+5.25x), तो (x=4) से (x=12) तक (y) में कुल वृद्धि कितनी होगी?
If (y=28+5.25x), what is the total increase in (y) from (x=4) to (x=12)?
#linear_growth
#decimal_rate
#total_change
A (36)
B (40)
C (42)
D (48)
Explanation opens after your attempt
Explanation
Simple Explanation
(x) में परिवर्तन (12-4=8) है। कुल वृद्धि \(5.25\times8=42\) है। / The change in (x) is (12-4=8). The total increase is \(5.25\times8=42\).
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यदि (y=360-bx) में (x=7) से (x=15) तक (y) (136) घटता है, तो (b) क्या है?
If in (y=360-bx), (y) decreases by (136) from (x=7) to (x=15), what is (b)?
#linear_decay
#find_rate
#total_change
A (15)
B (16)
C (17)
D (18)
Explanation opens after your attempt
Explanation
Simple Explanation
(x) में परिवर्तन (8) है। कुल कमी (8b=136) है इसलिए (b=17) है। / The change in (x) is (8). The total decrease is (8b=136), so (b=17).
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यदि (y=180+ax) में (x=8) से (x=16) तक (y) (120) बढ़ता है, तो (a) क्या है?
If in (y=180+ax), (y) increases by (120) from (x=8) to (x=16), what is (a)?
#linear_growth
#find_rate
#total_change
A (13)
B (14)
C (15)
D (16)
Explanation opens after your attempt
Explanation
Simple Explanation
(x) में परिवर्तन (8) है। (8a=120) से (a=15) मिलता है। / The change in (x) is (8). From (8a=120), (a=15).
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यदि (y=400-25x), तो (y) में (175) की कमी के लिए (x) कितना बढ़ना चाहिए?
If (y=400-25x), by how much should (x) increase for (y) to decrease by (175)?
#linear_decay
#change_in_x
#total_change
A (5)
B (6)
C (7)
D (8)
Explanation opens after your attempt
Explanation
Simple Explanation
कुल कमी \(25\Delta x\) होगी। \(25\Delta x=175\) से \(\Delta x=7\) मिलता है। / The total decrease is \(25\Delta x\). From \(25\Delta x=175\), \(\Delta x=7\).
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यदि (y=80+20x), तो (x) में कितनी वृद्धि करने पर (y) (160) बढ़ेगा?
If (y=80+20x), by how much must (x) increase for (y) to increase by (160)?
#linear_growth
#change_in_x
#total_change
A (6)
B (7)
C (8)
D (9)
Explanation opens after your attempt
Explanation
Simple Explanation
कुल वृद्धि \(20\Delta x\) होगी। \(20\Delta x=160\) से \(\Delta x=8\) मिलता है। / The total increase is \(20\Delta x\). From \(20\Delta x=160\), \(\Delta x=8\).
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यदि (y=160-6.25x), तो (x=5) से (x=13) तक (y) में कुल कमी कितनी होगी?
If (y=160-6.25x), what is the total decrease in (y) from (x=5) to (x=13)?
#linear_decay
#decimal_rate
#total_change
A (45)
B (50)
C (55)
D (60)
Explanation opens after your attempt
Explanation
Simple Explanation
(x) में परिवर्तन (13-5=8) है। कुल कमी \(6.25\times8=50\) है। / The change in (x) is (13-5=8). The total decrease is \(6.25\times8=50\).
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यदि (y=35+4.75x), तो (x=2) से (x=10) तक (y) में कुल वृद्धि कितनी होगी?
If (y=35+4.75x), what is the total increase in (y) from (x=2) to (x=10)?
#linear_growth
#decimal_rate
#total_change
A (34)
B (36)
C (38)
D (42)
Explanation opens after your attempt
Explanation
Simple Explanation
(x) में परिवर्तन (10-2=8) है। कुल वृद्धि \(4.75\times8=38\) है। / The change in (x) is (10-2=8). The total increase is \(4.75\times8=38\).
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