SOLUTION: 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 mode

Algebra ->  Linear-equations -> SOLUTION: 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 mode      Log On


   



Question 970798: 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 by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x minutes______________calories PER DAY
0______________________0
1_____________________30
2_____________________2*30
3_____________________3*30
.
.
n_____________________x*30


highlight%28F%28x%29=30x%29, F(x) is how many calories per day for x minutes of the exercise.


Now is F(x) in CALORIES per DAY which depends on x.
Given also 3500 calories = 1 pound of fat,
%281%2F3500%29F%28x%29 gives how many POUNDS per DAY.

How can this be formed into a uniform rates relationship?
R*T=M burn rate, time in days, mass of fat in pounds.
-
%281%2F3500%29F%28x%29%2At=m, changing the names of the variables for distinction;
Let t=10, m=1;
%281%2F3500%29F%28x%29%2A10=1, and remember,
REMEMBER what was F%28x%29=30x, and x was minutes of exercise in the any one day.

highlight%28%281%2F3500%29%2A30x%2A10=1%29;
Solve for x.