Answer
a. The mouse weighs 28.97 grams and is changing at 25.6 grams per week.
b. 1.08 grams per week
c. decrease; The rate of change in the mouse's weight is given by the formula $w'(t)=\frac{7.37}{t}$. As t increases, $w'(t)$ will decrease.
Work Step by Step
a. To find the weight of the mouse at week 9 simply pug (9) into the original formula. To find the rate at which its weight is changing, we take the derivative of the original which is $w'(t)=\frac{7.37}{t}$ and plug (9) into it.
b. To find the rate of change over age 7-11 we need to use the derivative formula $w'(t)=\frac{7.37}{t}$, plug (7) and (11) into that formula, then subtract the first result by the second.
c. Graph the formula $w'(t)=\frac{7.37}{t}$, and observe whether it is increasing of decreasing. Then explain the results.
