As a membership fee a health club charges a one time amount of $40 and charges $25 for each month. The total fee after m months is $240. What is the value of m

A runner warms up for ten minutes and then takes seven minutes to run each mile. The total time after r miles is 45 minutes. How many miles are run?

First you need to set up an equation y = mx + b. m would be the monthly charge and b would be the one time fee. x represents the number of months.

To solve for the number of months with a total price of 240 we substitute 240 in for y and solve for x.

240 = 25x + 40

subtract 40 from each side

200 = 25x

divide by 25

8 = x

8 months

10 + 7r = 45

7r = 35

r = 5

5 miles