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 calorie burned each day by x minutes of this exercise.