janes sister,barb, is trying to lose weight for her wedding in two months. she c

Question

janes sister,barb, is trying to lose weight for her wedding in two months. she currently weghs 200 pounds and loses 1.5% every week that she works out.

a. write a function, w, that will tell you barbs weight in terms of the number of weeks she works out, t.

b. if barb works out every week until the wedding, how much weight will she lose?

c. what is the average rate of change on the interval [0,8]?

d. how many pounds per week would someone else need to lose to attain the same total weight loss as barb? (constant rate of change)

Explanation / Answer

2months =8 weeks

a) barbs weight in terms of the number of weeks she works out, t.

w =200(1-(1.5/100))t,0<=t<=8

w =200(0.985)t

b) 8 weeks for her wedding ,t =8

w =200(0.985)8

w =177.22 pound

c) average rate of change =[177.22-200]/(8-0) =-2.85 pounds per week

d)2.85 pounds per week someone else need to lose to attain the same total weight loss as barb

Related Questions

Navigate

• Browse (All)
• Browse J
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.