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Concept-wise Practice

change_in_x MCQ Questions for Class 9

change_in_x se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

29 questions tagged with change_in_x.

रेखा \(y=-\frac{9}{5}x+22\) में (y) को (54) घटाने के लिए (x) कितना बढ़ना चाहिए?

In the line \(y=-\frac{9}{5}x+22\), how much should (x) increase to decrease (y) by (54)?

Explanation opens after your attempt
Correct Answer

C. (30)

Explanation

Simple Explanation

कमी \(\frac{9}{5}\Delta x\) होगी। \(\frac{9}{5}\Delta x=54\) से \(\Delta x=30\) मिलता है। / The decrease is \(\frac{9}{5}\Delta x\). From \(\frac{9}{5}\Delta x=54\), \(\Delta x=30\).

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रेखा \(y=\frac{9}{4}x-15\) में (y) को (36) बढ़ाने के लिए (x) कितना बढ़ना चाहिए?

In the line \(y=\frac{9}{4}x-15\), how much should (x) increase to increase (y) by (36)?

Explanation opens after your attempt
Correct Answer

C. (16)

Explanation

Simple Explanation

परिवर्तन \(\frac{9}{4}\Delta x=36\) होगा। इससे \(\Delta x=16\) मिलता है। / The change is \(\frac{9}{4}\Delta x=36\). This gives \(\Delta x=16\).

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रेखा (y=-8x+30) में (x) कितने बढ़ाने पर (y) (64) घटेगा?

In the line (y=-8x+30), by how much must (x) increase for (y) to decrease by (64)?

Explanation opens after your attempt
Correct Answer

C. (8)

Explanation

Simple Explanation

ढाल (-8) है, इसलिए कमी \(8\Delta x\) होगी। \(8\Delta x=64\) से \(\Delta x=8\) है। / The slope is (-8), so the decrease is \(8\Delta x\). From \(8\Delta x=64\), \(\Delta x=8\).

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रेखा \(y=-\frac{7}{4}x+18\) में (y) को (42) घटाने के लिए (x) कितना बढ़ना चाहिए?

In the line \(y=-\frac{7}{4}x+18\), how much should (x) increase to decrease (y) by (42)?

Explanation opens after your attempt
Correct Answer

C. (24)

Explanation

Simple Explanation

कमी \(\frac{7}{4}\Delta x\) होगी। \(\frac{7}{4}\Delta x=42\) से \(\Delta x=24\) मिलता है। / The decrease is \(\frac{7}{4}\Delta x\). From \(\frac{7}{4}\Delta x=42\), \(\Delta x=24\).

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रेखा \(y=\frac{7}{5}x-12\) में (y) को (28) बढ़ाने के लिए (x) कितना बढ़ना चाहिए?

In the line \(y=\frac{7}{5}x-12\), how much should (x) increase to increase (y) by (28)?

Explanation opens after your attempt
Correct Answer

C. (20)

Explanation

Simple Explanation

परिवर्तन \(\frac{7}{5}\Delta x=28\) होगा। इससे \(\Delta x=20\) मिलता है। / The change is \(\frac{7}{5}\Delta x=28\). This gives \(\Delta x=20\).

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रेखा (y=-7x+24) में (x) कितने बढ़ाने पर (y) (56) घटेगा?

In the line (y=-7x+24), by how much must (x) increase for (y) to decrease by (56)?

Explanation opens after your attempt
Correct Answer

D. (8)

Explanation

Simple Explanation

ढाल (-7) है, इसलिए कमी \(7\Delta x\) होगी। \(7\Delta x=56\) से \(\Delta x=8\) है। / The slope is (-7), so the decrease is \(7\Delta x\). From \(7\Delta x=56\), \(\Delta x=8\).

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रेखा \(y=-\frac{5}{3}x+14\) में (y) को (40) घटाने के लिए (x) कितना बढ़ना चाहिए?

In the line \(y=-\frac{5}{3}x+14\), how much should (x) increase to decrease (y) by (40)?

Explanation opens after your attempt
Correct Answer

C. (24)

Explanation

Simple Explanation

कमी \(\frac{5}{3}\Delta x\) होगी। \(\frac{5}{3}\Delta x=40\) से \(\Delta x=24\) मिलता है। / The decrease is \(\frac{5}{3}\Delta x\). From \(\frac{5}{3}\Delta x=40\), \(\Delta x=24\).

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रेखा \(y=\frac{5}{4}x-9\) में (y) को (25) बढ़ाने के लिए (x) कितना बढ़ना चाहिए?

In the line \(y=\frac{5}{4}x-9\), how much should (x) increase to increase (y) by (25)?

Explanation opens after your attempt
Correct Answer

C. (20)

Explanation

Simple Explanation

परिवर्तन \(\frac{5}{4}\Delta x=25\) होगा। इससे \(\Delta x=20\) मिलता है। / The change is \(\frac{5}{4}\Delta x=25\). This gives \(\Delta x=20\).

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रेखा (y=-6x+20) में (x) कितने बढ़ाने पर (y) (42) घटेगा?

In the line (y=-6x+20), by how much must (x) increase for (y) to decrease by (42)?

Explanation opens after your attempt
Correct Answer

B. (7)

Explanation

Simple Explanation

ढाल (-6) है, इसलिए कमी \(6\Delta x\) होगी। \(6\Delta x=42\) से \(\Delta x=7\) है। / The slope is (-6), so the decrease is \(6\Delta x\). From \(6\Delta x=42\), \(\Delta x=7\).

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रेखा \(y=-\frac{4}{3}x+12\) में (y) को (28) घटाने के लिए (x) कितना बढ़ना चाहिए?

In the line \(y=-\frac{4}{3}x+12\), how much should (x) increase to decrease (y) by (28)?

Explanation opens after your attempt
Correct Answer

D. (21)

Explanation

Simple Explanation

कमी \(\frac{4}{3}\Delta x\) होगी। \(\frac{4}{3}\Delta x=28\) से \(\Delta x=21\) मिलता है। / The decrease is \(\frac{4}{3}\Delta x\). From \(\frac{4}{3}\Delta x=28\), \(\Delta x=21\).

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रेखा \(y=\frac{4}{3}x-6\) में (y) को (24) बढ़ाने के लिए (x) कितना बढ़ना चाहिए?

In the line \(y=\frac{4}{3}x-6\), how much should (x) increase to increase (y) by (24)?

Explanation opens after your attempt
Correct Answer

B. (18)

Explanation

Simple Explanation

परिवर्तन \(\frac{4}{3}\Delta x=24\) होगा। इससे \(\Delta x=18\) मिलता है। / The change is \(\frac{4}{3}\Delta x=24\). This gives \(\Delta x=18\).

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रेखा (y=-5x+18) में (x) कितने बढ़ाने पर (y) (35) घटेगा?

In the line (y=-5x+18), by how much must (x) increase for (y) to decrease by (35)?

Explanation opens after your attempt
Correct Answer

C. (7)

Explanation

Simple Explanation

ढाल (-5) है, इसलिए कमी \(5\Delta x\) होगी। \(5\Delta x=35\) से \(\Delta x=7\) है। / The slope is (-5), so the decrease is \(5\Delta x\). From \(5\Delta x=35\), \(\Delta x=7\).

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रेखा \(y=-\frac{3}{2}x+10\) में (y) को (18) घटाने के लिए (x) कितना बढ़ना चाहिए?

In the line \(y=-\frac{3}{2}x+10\), how much should (x) increase to decrease (y) by (18)?

Explanation opens after your attempt
Correct Answer

C. (12)

Explanation

Simple Explanation

कमी \(\frac{3}{2}\Delta x\) होगी। \(\frac{3}{2}\Delta x=18\) से \(\Delta x=12\) मिलता है। / The decrease is \(\frac{3}{2}\Delta x\). From \(\frac{3}{2}\Delta x=18\), \(\Delta x=12\).

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रेखा \(y=\frac{7}{3}x-5\) में (y) को (21) बढ़ाने के लिए (x) कितना बढ़ना चाहिए?

In the line \(y=\frac{7}{3}x-5\), how much should (x) increase to increase (y) by (21)?

Explanation opens after your attempt
Correct Answer

C. (9)

Explanation

Simple Explanation

परिवर्तन \(\frac{7}{3}\Delta x=21\) होगा। इससे \(\Delta x=9\) मिलता है। / The change is \(\frac{7}{3}\Delta x=21\). This gives \(\Delta x=9\).

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रेखा (y=-4x+15) में (x) कितने बढ़ाने पर (y) (28) घटेगा?

In the line (y=-4x+15), by how much must (x) increase for (y) to decrease by (28)?

Explanation opens after your attempt
Correct Answer

C. (7)

Explanation

Simple Explanation

ढाल (-4) है, इसलिए कमी \(4\Delta x\) होगी। \(4\Delta x=28\) से \(\Delta x=7\) मिलता है। / The slope is (-4), so the decrease is \(4\Delta x\). From \(4\Delta x=28\), \(\Delta x=7\).

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रेखा \(y=\frac{5}{2}x-1\) में (y) को (20) बढ़ाने के लिए (x) कितना बढ़ना चाहिए?

In the line \(y=\frac{5}{2}x-1\), how much should (x) increase to increase (y) by (20)?

Explanation opens after your attempt
Correct Answer

B. (8)

Explanation

Simple Explanation

परिवर्तन \(\frac{5}{2}\Delta x=20\) होगा। इससे \(\Delta x=8\) मिलता है। / The change is \(\frac{5}{2}\Delta x=20\). This gives \(\Delta x=8\).

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रेखा (y=-3x+12) में (x) कितने बढ़ाने पर (y) (21) घटेगा?

In the line (y=-3x+12), by how much must (x) increase for (y) to decrease by (21)?

Explanation opens after your attempt
Correct Answer

B. (7)

Explanation

Simple Explanation

ढाल (-3) है, इसलिए कमी \(3\Delta x\) होगी। \(3\Delta x=21\) से \(\Delta x=7\) मिलता है। / The slope is (-3), so the decrease is \(3\Delta x\). From \(3\Delta x=21\), \(\Delta x=7\).

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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)?

Explanation opens after your attempt
Correct Answer

C. (7)

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)?

Explanation opens after your attempt
Correct Answer

C. (8)

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=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)?

Explanation opens after your attempt
Correct Answer

C. (7)

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)?

Explanation opens after your attempt
Correct Answer

C. (8)

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=330-22x), तो (y) में (154) की कमी के लिए (x) कितना बढ़ना चाहिए?

If (y=330-22x), by how much should (x) increase for (y) to decrease by (154)?

Explanation opens after your attempt
Correct Answer

C. (7)

Explanation

Simple Explanation

कुल कमी \(22\Delta x\) होगी। \(22\Delta x=154\) से \(\Delta x=7\) मिलता है। / The total decrease is \(22\Delta x\). From \(22\Delta x=154\), \(\Delta x=7\).

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यदि (y=64+16x), तो (x) में कितनी वृद्धि करने पर (y) (112) बढ़ेगा?

If (y=64+16x), by how much must (x) increase for (y) to increase by (112)?

Explanation opens after your attempt
Correct Answer

C. (7)

Explanation

Simple Explanation

कुल वृद्धि \(16\Delta x\) होगी। \(16\Delta x=112\) से \(\Delta x=7\) मिलता है। / The total increase is \(16\Delta x\). From \(16\Delta x=112\), \(\Delta x=7\).

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यदि (y=270-18x), तो (y) में (126) की कमी के लिए (x) कितना बढ़ना चाहिए?

If (y=270-18x), by how much should (x) increase for (y) to decrease by (126)?

Explanation opens after your attempt
Correct Answer

C. (7)

Explanation

Simple Explanation

कुल कमी \(18\Delta x\) होगी। \(18\Delta x=126\) से \(\Delta x=7\) मिलता है। / The total decrease is \(18\Delta x\). From \(18\Delta x=126\), \(\Delta x=7\).

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यदि (y=48+12x), तो (x) में कितनी वृद्धि करने पर (y) (84) बढ़ेगा?

If (y=48+12x), by how much must (x) increase for (y) to increase by (84)?

Explanation opens after your attempt
Correct Answer

C. (7)

Explanation

Simple Explanation

कुल वृद्धि \(12\Delta x\) होगी। \(12\Delta x=84\) से \(\Delta x=7\) मिलता है। / The total increase is \(12\Delta x\). From \(12\Delta x=84\), \(\Delta x=7\).

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यदि (y=240-15x), तो (y) में (90) की कमी के लिए (x) कितना बढ़ना चाहिए?

If (y=240-15x), by how much should (x) increase for (y) to decrease by (90)?

Explanation opens after your attempt
Correct Answer

B. (6)

Explanation

Simple Explanation

कुल कमी \(15\Delta x\) होगी। \(15\Delta x=90\) से \(\Delta x=6\) मिलता है। / The total decrease is \(15\Delta x\). From \(15\Delta x=90\), \(\Delta x=6\).

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यदि (y=36+8x), तो (x) में कितनी वृद्धि करने पर (y) (64) बढ़ेगा?

If (y=36+8x), by how much must (x) increase for (y) to increase by (64)?

Explanation opens after your attempt
Correct Answer

C. (8)

Explanation

Simple Explanation

कुल वृद्धि \(8\Delta x\) होगी। \(8\Delta x=64\) से \(\Delta x=8\) मिलता है। / The total increase is \(8\Delta x\). From \(8\Delta x=64\), \(\Delta x=8\).

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यदि (y=180-12x), तो (y) में (72) की कमी के लिए (x) कितना बढ़ना चाहिए?

If (y=180-12x), by how much should (x) increase for (y) to decrease by (72)?

Explanation opens after your attempt
Correct Answer

B. (6)

Explanation

Simple Explanation

कुल कमी \(12\Delta x\) होगी। \(12\Delta x=72\) से \(\Delta x=6\) मिलता है। / The total decrease is \(12\Delta x\). From \(12\Delta x=72\), \(\Delta x=6\).

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यदि (y=24+6x), तो (x) में कितनी वृद्धि करने पर (y) (42) बढ़ेगा?

If (y=24+6x), by how much must (x) increase for (y) to increase by (42)?

Explanation opens after your attempt
Correct Answer

B. (7)

Explanation

Simple Explanation

कुल वृद्धि \(6\Delta x\) होगी। \(6\Delta x=42\) से \(\Delta x=7\) मिलता है। / The total increase is \(6\Delta x\). From \(6\Delta x=42\), \(\Delta x=7\).

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