Question

a certain type of exercise can help a person burn fat and lose weight.each additional minute of this exercise burns an extra 10 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 pond of fat.how many minutes of this particular exercise are needed to burn 1 pound of fat in 30 days?

Answer 1

minutes______________calories PER DAY
0______________________0
1_____________________30
2_____________________2*30
3_____________________3*30
.
.
n_____________________x*30


f(x)=30x , 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,
(1/3500)*f(x) 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.

(1/3500)*f(x)*t=mchanging the names of the variables for distinction;
Let t=10, m=1;

(1/3500)*F(X)*10=1and remember,
REMEMBER what was F(X)=30X and x was minutes of exercise in the any one day.


(1/3500)*30x*10=1
solve for x

Answer 2

thank you very much for your help. i would have never figured it out :-)

Answer 3

is the sign before 30x a multiplication sign?

Answer 4

and after 30x?

Answer 5

yep