A 25-year-old woman burns 250-60t cal/hr while walking on her treadmill. Her caloric intake from drinking Gatorade is 100t calories during the third hour. What is her net decrease in calories after walking for 3 hours?
Added by Lisa R.
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Step 1: Calculate the total amount of calories burned after 3 hours by integrating the rate of calories burned per hour: \[ \int_{0}^{3} (250 - 60t) dt = \left[ 250t - 30t^2 \right]_{0}^{3} = 250(3) - 30(3)^2 - (250(0) - 30(0)^2) = 750 - 270 = 480 \text{ calories Show more…
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