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?

Variable: h is hours and r is the rental costs

Two equations are:

For Parabola Skate rental company;

For Arc Hawk Skate rental company;

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

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.

⇒

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

; 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

b

step-by-step explanation:

multiply terms on numerator/ denominator by (x - 1)

= ← distribute numerator/ denominator

= ← simplify

=

= → b