Mathematics
Linear growth and decay
Practice questions
Which of the following statements correctly identifies a linear growth model?Which of the following observations most clearly represents linear decay of a quantity?When will the two linear models (A(t)=25+6t) and (B(t)=70-3t) be equal?If (P(t)=40+4t) and (Q(t)=100-6t), at what (t) will (P(t)) first equal (Q(t))?If (f(x)=a+7x) and (f(4)=53), what will (f(10)) be?If (g(x)=b-9x) and (g(5)=72), what will (g(11)) be?In the linear model \(y=a+bx\), which condition identifies that \(y\) increases linearly as \(x\) increases?Which of the following relations represents a linear decrease in \(y\) at a constant rate as \(x\) increases?In the linear polynomial model \(P(x)=a+bx\), which condition represents linear decay as \(x\) increases?Which of the following linear polynomials represents a quantity that decreases at a constant rate as x increases?If (C(t)=18+kt) and (C(5)-C(2)=21), what is (k)?If (D(t)=120-kt) and (D(3)-D(9)=42), what is (k)?If (A(x)=12+5x), what is the value of (A(x+4)-A(x-1))?In a polynomial \(P(x)=a+bx\) representing linear decay, which condition is necessary for the quantity to decrease as \(x\) increases?In the model (P(t)=p+6t), (P(3)=50) and (P(s)=80). What is (s)?In the model (R(t)=r-5t), (R(4)=90) and (R(s)=55). What is (s)?Which option makes (y) increase by (4) per step and has (y(3)=29)?Which option makes (y) decrease by (6) per step and has (y(5)=42)?If (M(t)=35+5t) and (N(t)=65-3t), when will (M(t)) be (10) more than (N(t))?If (A(t)=90-4t) and (B(t)=30+2t), when will (A(t)) be (12) more than (B(t))?