In order to become a member at a gym, there is a $75 startup fee. You then have to pay $15 per month. Write an equation in slope-intercept form modeling this situation where y represents the total cost and x represents the number of months spent at the gym

y = 15x +75

Step-by-step explanation:

15 is the number of months and changes based on how many months

75 doesn't change, remains constant.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is