Mathematics
Linear growth and decay
Practice questions
If (f(x)=8x+22), when will (f(3x)-f(x)) be (80)?If (g(x)=180-9x), when will (g(x)-g(3x)) be (90)?If (P(t)=50+4t), (P(4)+P(12)) is equal to twice which (P(k))?If (Q(t)=210-7t), (Q(3)+Q(15)) is equal to twice which (Q(k))?If in (y=120+ax), (y) increases by (88) from (x=6) to (x=14), what is (a)?If in (y=260-bx), (y) decreases by (104) from (x=5) to (x=13), what is (b)?If (A(t)=30+5t) and (B(t)=54+3t), at what (t) will (A(t)) be (6) more than (B(t))?If (C(t)=200-8t) and (D(t)=70+4t), at what (t) will (C(t)) be (10) less than (D(t))?If (f(t)=a+6t) and the sum of (f(1), f(5), f(9)) is (180), what is (a)?If (g(t)=b-5t) and the sum of (g(2), g(6), g(10)) is (210), what is (b)?Which of the following polynomials represents linear decay of a quantity with time \(t\), where the coefficient of \(t\) indicates the decrease per unit time?Which statement correctly identifies linear decay of a quantity?When will the two models (A(t)=36+9t) and (B(t)=126-6t) be equal?If (P(t)=52+4t) and (Q(t)=148-8t), at which (t) will (P(t)=Q(t))?If (f(x)=a+12x) and (f(4)=95), what will (f(10)) be?If (g(x)=b-11x) and (g(5)=103), what will (g(12)) be?Which of the following equations represents a linear model with an initial value of 18, in which y decreases by 2.5 units for every 1-unit increase in x?Which equation has an initial value of 250 for y and represents a constant decrease in y as x increases?To identify linear growth between a quantity and the variable x, what property should the quantity’s values have at equal intervals of x?Which of the following polynomials represents a decrease at a constant rate as x increases?