w(t) =250-140e to the power of -0.5t(please see the attached algebra problem. a.
ID: 3138388 • Letter: W
Question
w(t) =250-140e to the power of -0.5t(please see the attached algebra problem.
a. what is the maximum weight that this person can bench press initially?
b. what is the maximum weight that this person can bench press after 3 weeks of weight lifting?
c. what is the maximum weight that this person can bench press after 5 weeks of weight lifting?
Note: please round all answers to the nearest whole number as needed...thx!
10 p 417 of 28 (16 complete) v The following function models the maximum weight. w. that a person can bench press in pounds at the end of t wonks of working out below wnt)-250-140 e-051 (a) What is the maximum weight that this person can bench press initially? lbs (Round to the nearest whole number as needed) (b) What is the maximum weight that this person can bench press after 3 weeks of welght lifting? lbs Round to the nearest whole number as neided) (c) What is the maximum weight that this person ean bench press after 5 weeks of weight liting? lbs Round to the nearest whole number as needed )Explanation / Answer
Given model of bench press weight lifting =
w(t) =250-140e-0.5t
a) initial maximum weight, implies t = 0
so, weight = 250- 140e0
= 250-140
=110 lbs
b) after 3 weeks of weightlifting, implies, t = 3
= 250-140e-0.5(3)
=250-140e-0.15
=250-140(0.86070797642)
=250-120.4991166988
=129.50
= Approximately 130 lbs
c) After 5 weeks of weightlifting i.e t=5
= 250-140e-0.5(5)
=250-140e-0.25
=250-140(0.778800783071)
=250-109.0321096298
=140.967
= 141 lbs approximately.
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