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An overweight man makes lifestyle changes in order to lose weight. His starting weight is 250...

An overweight man makes lifestyle changes in order to lose weight. His starting weight is 250 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) =

50·0.9t

  

(b) How long will it take for his weight to reach 225 pounds? (Round your answer to two decimal places.)
  months

Math   Prealgebra   
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