Mathematics
Linear growth and decay
Practice questions
If (C(t)=55+kt) and (C(12)-C(5)=105), what is (k)?If (D(t)=340-kt) and (D(6)-D(14)=128), what is (k)?If (A(x)=52+9x), what is the value of (A(x+7)-A(x-2))?A quantity has an initial value of 500 and decreases at a constant rate of 12 per unit time. Which polynomial represents this linear decay?In the model (P(t)=p+16t), (P(4)=125) and (P(s)=221). What is (s)?In the model (R(t)=r-18t), (R(3)=166) and (R(s)=40). What is (s)?Which option makes (y) increase by (12) per step and has (y(6)=101)?Which option makes (y) decrease by (16) per step and has (y(5)=78)?If (M(t)=95+6t) and (N(t)=203-6t), when will (M(t)) be (24) more than (N(t))?If (A(t)=280-13t) and (B(t)=65+5t), when will (A(t)) be (17) more than (B(t))?A quantity is represented by \(P(x)=a+bx\), where it changes linearly as \(x\) increases. Which condition on \(b\) is necessary for linear decay?If (G(t)=320-rt) and (G(4)=G(13)+144), what is (r)?The price of an item is (P(n)=a+30n). If (P(5)=260), what is (P(13))?A machine's value is (V(y)=c-4200y). If (V(4)=53200), what will (V(11)) be?If (y=56+8x), which value of (x) makes (y) equal to (15x)?If (y=255-14x), which value of (x) makes (y) equal to (3x)?If (L(t)=7t+41), what is (L(6t)-L(2t))?If (K(t)=350-10t), what is (K(3t)-K(7t))?If (Y(x)=a+10x) is linear growth and (Y(5)+Y(11)=250), what is (a)?If (Z(x)=b-15x) is linear decay and (Z(4)+Z(8)=160), what is (b)?