(a) brooke belongs to a fitness club . at the end of each month , she pays a flat monthly rate of $35.50 or she pays $8.25 for each time she visited the club that month , whichever value is greater . how much did brooke pay at the end of march if she went to tje club eight times that month ?

(b) if brooke does not want to pay more than the $35.50 flat fee at the end of the month of april , how many times can she go to the fitness club that month?

a. the are of the rectangle is 18.25

b. 18.25 times two is 36.50

rae me : d

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