Mathematics
Linear growth and decay
Practice questions
Which of the following statements identifies a linear decay model?Which model represents the linear decay of a quantity at a constant rate over time?When will the two models (A(t)=48+11t) and (B(t)=168-4t) be equal?If (P(t)=70+5t) and (Q(t)=190-10t), at which (t) will (P(t)=Q(t))?If (f(x)=a+13x) and (f(3)=82), what will (f(9)) be?If (g(x)=b-14x) and (g(4)=120), what will (g(11)) be?Which of the following polynomials represents linear decay of a quantity as x increases?Which linear equation has a positive rate of growth?Which of the following situations is best represented by a linear polynomial such as \(p(x)=ax+b\), where \(a<0\)?Which of the following linear polynomials shows a decrease in its value at a constant rate as x increases?If (C(t)=42+kt) and (C(11)-C(5)=84), what is (k)?If (D(t)=300-kt) and (D(4)-D(12)=104), what is (k)?If (A(x)=45+8x), what is the value of (A(x+6)-A(x-2))?Which of the following linear polynomials represents a situation in which the value of the polynomial decreases by 7 units for every increase of 1 unit in x?In the model (P(t)=p+14t), (P(3)=96) and (P(s)=180). What is (s)?In the model (R(t)=r-15t), (R(4)=128) and (R(s)=38). What is (s)?Which option makes (y) increase by (11) per step and has (y(5)=82)?Which option makes (y) decrease by (13) per step and has (y(6)=71)?If (M(t)=80+7t) and (N(t)=170-5t), when will (M(t)) be (18) more than (N(t))?If (A(t)=240-11t) and (B(t)=60+4t), when will (A(t)) be (15) more than (B(t))?