A woman who has recovered from a serious illness begins a diet regimen designed to get her back to a healthy weight. Shecurrently 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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Asked Oct 30, 2019

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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
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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

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Step 1
(a)
Given that the current weight of the woman is 104 pounds and each week her weight is
multiplied by 1.09
Here a
1.09 and P = 104
Find the exponential function for the weight after t weeks as follows.
W Pa
=103(1.09)
Therefore, the exponential function for the weight after t weeks is 103 (1.09)'.
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(a) Given that the current weight of the woman is 104 pounds and each week her weight is multiplied by 1.09 Here a 1.09 and P = 104 Find the exponential function for the weight after t weeks as follows. W Pa =103(1.09) Therefore, the exponential function for the weight after t weeks is 103 (1.09)'.

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Step 2
(b)
Given that the current weight of the woman is 104 pounds and each week her weight is
multiplied by 1.09 and her normal weight is 135 pounds
135 and P 104
Here a 1.09, W
Find the time taken by the woman to reach 135 pounds as follows
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(b) Given that the current weight of the woman is 104 pounds and each week her weight is multiplied by 1.09 and her normal weight is 135 pounds 135 and P 104 Here a 1.09, W Find the time taken by the woman to reach 135 pounds as follows

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