Solve the problem.
-The sales in thousands of a new type of product are given by $S(t)=150-90 e^{-.7 t}$, where $t$ represents time in years. Find the rate of change of sales at the time when $t=2$.
A) 15.6 thousand per year
B) -254.4 thousand per year
C)2 54.4 thousand per year
D) -15.6 thousand per year

Question

Quizplus · Accepted Answer

The rate of change of sales is given by the derivative $S'(t)$. Differentiating $S(t)=150-90 e^{-.7 t}$ gives $S'(t)=63 e^{-.7 t}$. Evaluating at $t=2$, $S'(2)=63 e^{-1.4} \approx 15.6$.

Solve the Problem S(t)=150−90e−.7tS(t)=150-90 e^{-.7 t}S(t)=150−90e−.7t , Where ttt Represents Time in Years

Solve the Problem $S(t)=150-90 e^{-.7 t}$ , Where $t$ Represents Time in Years