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A certain type of exercise can help a person burn fat and lose weight. Each additional minute of this exercise burns an extra 35 calories per day. Write a linear function that models the number of calories burned each day by x minutes of this exercise. By burning an additional 3500​ calories, a person can lose 1 pound of fat. How many minutes of this particular exercise are needed to burn 1 pound of fat in 15 ​days? Write a linear function that models the number of calories burned each day by x minutes of this exercise.

 Jun 27, 2016
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Let the function =C

f(C) =35x

 

3,500 / 15 =233 1/3 calories that will be burned per day.

(233 1/3) / 35 =6 2/3 minutes that must be spent exercising per day.

6 2/3 x 15 =100 minutes of exercise will be needed in 15 days.

 Jun 27, 2016

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