19/2018 Section 4.2 s. -/2 pointsCraudColAlg5 4.2.EX.017. An overweight man make

Question

19/2018 Section 4.2 s. -/2 pointsCraudColAlg5 4.2.EX.017. An overweight man makes lifestyle changes in order to lose weight and he has set a target weight of 200 pounds. Each month the differen current weight at time t (in months) and his target weight decreases by 10%. starting weight is 260 pounds ce D, in pounds, between his . His (a) Make an expo nential model of D versus the time t in months since the diet began. (b) How long will it take for his weight to reach 210 pounds? (Round your answer to two places.) decimal months Need Help?Talik to a Tutor

Explanation / Answer

standard expoenntial function is

D = Do ( 1 - r )^t

so, we can write the function as

a) D = 260 ( 1 - .10 )^t

D = 260 ( .90)^t

b) plugging D = 210

210 = 260 ( 0.90)^t

210/260 = .90 ^t

t = 2.03

hence, it takes 2.03 months to reach 210 pounds

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