Question

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 102 pounds. She hopes each week to multiply her weight by 1.03 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 = (b) How long will it be before she reaches her normal weight of 135 pounds? (Round your answer to two decimal places.) weeks

Answer 1

Satulin 102 Pounds 1:01.3 exponential Jemelion U Pait U- 102 (1•0334 © Therefore, the exponential function for the weight after weeks is 102(1.033 6 w = 102C1-c3 135 = 102 (1-с3) 1,32 = (03)* 10. g 32) = ☆ log(103) log 1.32 Tog 103 - togel |- 32 -1:03) tog 6.2935) f: 9:55 10 weeks