An overweight man makes lifestyle changes in order to lose weight. His starting weight is 240 pounds and he has set a target weight of 200 pounds. Lett be the time (in months), and let D be the difference (in pounds) between his weight at time t and his target weight. Each month the difference D decreases by 10%. (a) Make an exponential model of D versus the time t in months since the diet began. D(t)-40-0.9² ) How long will it take for his weight to reach 215 pounds? (Round your answer to two decimal places.) x months
An overweight man makes lifestyle changes in order to lose weight. His starting weight is 240 pounds and he has set a target weight of 200 pounds. Lett be the time (in months), and let D be the difference (in pounds) between his weight at time t and his target weight. Each month the difference D decreases by 10%. (a) Make an exponential model of D versus the time t in months since the diet began. D(t)-40-0.9² ) How long will it take for his weight to reach 215 pounds? (Round your answer to two decimal places.) x months
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![An overweight man makes lifestyle changes in order to lose weight. His starting weight is 240 pounds and he has set a target weight of 200 pounds. Let t be the time (in months), and let D be the difference (in pounds) between his weight at time t and his target weight. Each month the difference D decreases by 10%.
(a) Make an exponential model of D versus the time t in months since the diet began.
D(t) = 40-0.9¹
(b) How long will it take for his weight to reach 215 pounds? (Round your answer to two decimal places.)
0
X
months](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf03ac0f-3652-4fe4-83f1-0fd7d3580b95%2F096ac98b-37a4-4b9f-baa7-a09d8ffb03fc%2Fjw5zo1_processed.png&w=3840&q=75)
Transcribed Image Text:An overweight man makes lifestyle changes in order to lose weight. His starting weight is 240 pounds and he has set a target weight of 200 pounds. Let t be the time (in months), and let D be the difference (in pounds) between his weight at time t and his target weight. Each month the difference D decreases by 10%.
(a) Make an exponential model of D versus the time t in months since the diet began.
D(t) = 40-0.9¹
(b) How long will it take for his weight to reach 215 pounds? (Round your answer to two decimal places.)
0
X
months
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