Question

Parabola skate rental rents skate boards for $4.50 per hour with a rental fee of $35. Arc Hawk Skat rental rents skate boards for 5.25 per hour with a rental fee of $25. Define the variables and write 2 equations to represent each rental company. What is the rate of change for each rental company?

Answer 1

Variable: h is hours and r is the rental costs

Two equations are:

For Parabola Skate rental company;
`r =4.50h + 35`

For Arc Hawk Skate rental company;
`r =5.25h + 25`

Rate of change for each company:

Parabola: rate of change is, 4.50 per hours

Arc Hawk: rate of change is, 5.25 per hours

Explanation:

Let h represents the hours and r represents the rental costs.

Parabola Skate rental company: rents skate boards for $4.50 per hour with a rental fee of $35.

⇒
`r =4.50h + 35`

Arc Hawk Skate rental Company: rents skate boards for 5.25 per hour with a rental fee of $25.

⇒
`r =5.25h + 25`

To find the rate of change for each rental company:

Rate of change states the rate that describes how one quantity changes in relation to another quantity.

If y is the dependent variable and x is the independent variables

then,

`y=mx+b` ; where m is the slope or rate of change.

In this question, rate of change(m) represents the costs per hour to rent the skate boards.

• For Parabola Skate rental company:

Rate of change = 4.50 per hour

• For Arc Hawk Skate rental company:

Rate of change = 5.25 per hour