Mathematics
Linear growth and decay
Practice questions
If (f(x)=5x+20), when will (f(2x)-f(x)) be (30)?If (g(x)=96-6x), when will (g(x)-g(2x)) be (36)?If (P(t)=30+5t), (P(2)+P(8)) is equal to twice which (P(k))?If (Q(t)=100-4t), (Q(1)+Q(9)) is equal to twice which (Q(k))?If in (y=70+ax), (y) increases by (35) from (x=4) to (x=9), what is (a)?If in (y=160-bx), (y) decreases by (45) from (x=3) to (x=8), what is (b)?If (A(t)=12+3t) and (B(t)=18+2t), at what (t) will (A(t)) be (4) more than (B(t))?If (C(t)=130-5t) and (D(t)=70+3t), at what (t) will (C(t)) be (12) less than (D(t))?If (f(t)=a+4t) and the sum of (f(1), f(3), f(5)) is (81), what is (a)?If (g(t)=b-3t) and the sum of (g(2), g(4), g(6)) is (144), what is (b)?Which observation is the clearest indication of linear decay of a quantity \(P\) over time?If a quantity has an initial value \(Q_0\) and \(r>0\) is constant, which of the following relations represents linear decay over time?When will the two models (A(t)=32+7t) and (B(t)=86-2t) be equal?If (P(t)=55+5t) and (Q(t)=135-3t), at which (t) will (P(t)=Q(t))?If (f(x)=a+9x) and (f(3)=64), what will (f(8)) be?If (g(x)=b-8x) and (g(4)=91), what will (g(10)) be?Which of the following equations shows that y decreases linearly at a constant rate as x increases?Which of the following expressions represents the linear decay of a quantity with time?Which of the following polynomials represents a quantity that decreases at a constant rate as x increases?Which of the following graphs represents the linear decay of a quantity?