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An overweight man makes lifestyle changes in order to lose weight. His starting weight 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 5%. (a) Make an exponential model of D versus the time t in months since the diet began. D(t) = (b) How long will it take for his weight to reach 215 pounds? (Round your answer to two decimal places.) months

An overweight man makes lifestyle changes in order to lose weight. His starting weight 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 5%. (a) Make an exponential model of D versus the time t in months since the diet began. D(t) = (b) How long will it take for his weight to reach 215 pounds? (Round your answer to two decimal places.) months

Advanced Engineering Mathematics
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 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 5%. (a) Make an exponential model of D versus the time t in months since the diet began. D(t) = (b) How long will it take for his weight to reach 215 pounds? (Round your answer to two decimal places.) months
Transcribed Image Text:An overweight man makes lifestyle changes in order to lose weight. His starting weight 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 5%. (a) Make an exponential model of D versus the time t in months since the diet began. D(t) = (b) How long will it take for his weight to reach 215 pounds? (Round your answer to two decimal places.) months
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