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 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 = X (b) How long will it be before she reaches her normal weight of 135 pounds? (Round your answer to two decimal places.) Xweeks

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
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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 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 =
X
(b) How long will it be before she reaches her normal weight of 135 pounds? (Round your answer to two decimal places.)
Xweeks
Transcribed Image Text: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 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 = X (b) How long will it be before she reaches her normal weight of 135 pounds? (Round your answer to two decimal places.) Xweeks
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