Question

Parabola Skate Rental rents skate boards for $4.50 per hour with a rental fee of $35. Arc of Hawk Skate Rental rents skate boards for $5.25 per hour with a rental fee of $25. Rate of change

Answer 1

Answer:
`\bold{13(1)/(3)\ \text{hours}}`

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

`x=(1000)/(75)` divided both sides by 0.75

x =
`13(1)/(3)` simplified the fraction