Answer:
The net decrease in calories after walking 3 hours is 210 cal (if the Gatorade intake is discrete) or 765 cal ( if the Gatorade intake is continuous)
Explanation:
The net decrease N in calories after 3 hours will be
N=Net decrease = Decrease due to walking - Increase because of Gatorade
= 300 - 80*t + 50*t = 300 - 30*t
- if the Gatorade intake is discrete ( 1 gatorade each hour with 30 calories intake , so there is total intake of 30*t at time t) , then for t = 3 hours
Net decrease = 300 cal - 30 cal/hour * 3 hours = 300 cal - 90 cal = 210 cal
Net decrease = 210 cal
- if the Gatorade intake is continuous ( continuously drinking Gatorade during the walk) , then
N = ∫(300 - 30*t) dt = 300*t - 30*t²/2 (integrated between t and t=0)
then for t=3 hours
N = 300*3 - 30*3²/2 = 765 cal
