In: Math
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 107 pounds. She hopes each week to multiply her weight by 1.09 each week.
(a) Find a formula for an exponential function that gives the woman's weight w, in pounds, after t weeks on the regimen.
w =
107(1.09)t
(b) How long will it be before she reaches her normal weight of 140
pounds? (Round your answer to two decimal places.)
weeks