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
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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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
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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