Chapter 4.1, Problem 5E

Reminder Round all answers to two decimal places unless otherwise indicated.

A Weight-Gain Program A woman who has recovered from a serious illness begins a diet regimen designed to get her back to a healthy weight. She currently weighs $104\text{pounds}$. She hopes to multiply her wait by $1.03$ each week.

a. Find a formula for an exponential function that gives the woman’s weight $w$, in pounds, after $t\text{weeks}$ on the regimen.

b. How long will it be before she reaches her normal weight of $135\text{pounds}$?