Algebra word problem

Question

A certain type of exercise can help a person burn fat and lose weight. Each additional minute of this exercise burns an extra 30 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 10 days?
Write a linear function that models the number of calorie burned each day by x minutes of this exercise.

 

F(x) =     (simplify your answers)
It would take approximately __minutes of this particular exercise each day to burn 1 pound of fat in 10 days. (Round to two decimal places as needed.)

Answer 1

This is the way I read I read this problem. " Each minute of this exercise burns 30 calories. Write a linear function that models the number of calories burned each day by x minutes of this exercise per day." In reference to this exercise, if you do nothing then no calories will be burned; therefore, the linear line will cross the y-axis at zero. The equation for the line is y = 30X, in which X represents minutes. You need to burn 350 calories per day to loose 1 pound in 10 days, and this will take 350/30 = 11 minutes and 40 seconds of exercise per day. Let's round it up to 12 minutes per day. The equation will be Y = 360X with X being the number of days exercising 12 minutes per day. So in 10 days you will burn 3,600 calories, and in 30 days it is 10,800 calories; thereby loosing about 3 pounds.

I know of no exercise that can burn calories this fast. Swimming and boxing is about a third of this.