# Parabola skate rental rents skate boards for $4.50 an hour with a rental fee of $35. arc of hawk skate rental rents skate boards fofr $5.25 per hour with a rental fee of $25.

Step-by-step explanation:

Parabola Skate Rental: 4.50x + 35

Arc Hawk Skate Rental: 5.25x + 25

If you want to know when their cost will be the same, set the equations equal to each other.

5.25x + 25 = 4.50x + 35

0.75x + 25 = 35 subtracted 4.50x from both sides

0.75x = 10 subtracted 25 from both sides

divided both sides by 0.75

x = simplified the fraction

It will cost the same for both facilities when they skate for 13.33 hours. The total cost will be $95

Step-by-step explanation:

y = 4.50x + 35

y = 5.25x + 25

Use substitution to solve:

4.50x + 35 = 5.25x + 25

-4.50x -4.50x

35 = 0.75x + 25

-25 -25

10 = 0.75x

÷0.75 ÷0.75

13.33 = x

y = 4.50(13.33) + 35

= 60 + 35

= 95