Answer:
Variable: h is hours and r is the rental costs
Two equations are:
For Parabola Skate rental company; [tex]r =4.50h + 35[/tex]
For Arc Hawk Skate rental company; [tex]r =5.25h + 25[/tex]
Rate of change for each company:
Parabola: Â rate of change is, 4.50 per hours
Arc Hawk: rate of change is, 5.25 per hours
Step-by-step 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.
⇒ [tex]r =4.50h + 35[/tex]
Arc Hawk Skate rental Company: rents skate boards for 5.25 per hour with a rental fee of $25.
⇒  [tex]r =5.25h + 25[/tex]
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,
[tex]y=mx+b[/tex] ; 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.
Rate of change = 4.50 per hour
Rate of change = 5.25 per hour