Question

Vespa Scooter Rental rents scooters for $45 and $0.25 per mile. Scottie's rental rents scooters for $35 and $0.30 per mile.a. define the variables and write two functions to represent the situation.b. represent the two situations on the graph below.c. what is the rate of change of each line? what do they represent?d. what do the y-intercepts of each line represent.

Answer 1

a.

Number of miles (independent variable)

Costo of the rent (dependent variable)

`\begin{gathered} \text{ Vespa Scooter Rental} \\ y=0.25x+45 \\ \text{ Scottie's Rental} \\ y=0.30x+35 \end{gathered}`

b.

c.

Vespa Scooter Rental: 0.25

Scottie's Rental: 0.30

The cost per mile offered by each company

d.

The fixed cost of each company

Vespa Scooter Rental: 45

Scottie's Rental: 35

Explanation:

a.

The variables of the situation would be x the number of miles and y the cost of the rent.

The functions would be the following:

`\begin{gathered} \text{ Vespa Scooter Rental} \\ y=0.25x+45 \\ \text{ Scottie's Rental} \\ y=0.30x+35 \end{gathered}`

b.

We graph each equation:

c.

The rate of change represents the cost per mile offered by each company.

For Vespa Scooter Rental the rate change is $0.25 per mile

For Scottie's Rental the rate change is $0.30 per mile

d.

The y-intercepot represents the fixed cost of each company, for Vespa Scooter Rental it is $45 and for Scottie's rental it is $35