Mathematics
Linear growth and decay
Practice questions
Which of the following models represents linear decay, where the quantity decreases by the same amount in each equal time interval?Which of the following linear polynomial models shows that \(y\) decreases at a constant rate as \(x\) increases and that \(y\) is positive when \(x=0\)?When will the two models (A(t)=45+8t) and (B(t)=129-4t) be equal?If (P(t)=38+6t) and (Q(t)=122-8t), at which (t) will (P(t)=Q(t))?If (f(x)=a+11x) and (f(2)=61), what will (f(9)) be?If (g(x)=b-7x) and (g(6)=74), what will (g(13)) be?Which of the following equations represents a linear model with a positive initial value in which y decreases as x increases?Identify the equation that represents linear decay.Which of the following relations shows a constant decay represented by a linear polynomial?When \(x\) increases by equal intervals, which of the following polynomials represents linear decay of a quantity?If (C(t)=31+kt) and (C(9)-C(4)=60), what is (k)?If (D(t)=190-kt) and (D(3)-D(12)=81), what is (k)?If (A(x)=25+4x), what is the value of (A(x+6)-A(x-1))?Which linear polynomial represents a quantity that decreases at a constant rate as the independent variable increases and has an initial value of 180?In the model (P(t)=p+9t), (P(3)=82) and (P(s)=136). What is (s)?In the model (R(t)=r-8t), (R(5)=104) and (R(s)=48). What is (s)?Which option makes (y) increase by (8) per step and has (y(3)=50)?Which option makes (y) decrease by (4) per step and has (y(7)=73)?If (M(t)=58+3t) and (N(t)=116-5t), when will (M(t)) be (14) more than (N(t))?If (A(t)=170-9t) and (B(t)=38+4t), when will (A(t)) be (2) more than (B(t))?