Question

Pleaseeeee help me with this!!

A bike shop owner rents out bikes and scooters. The cost to rent a bike is $15 plus $8

per hour for each hour the bike is rented. The cost to rent a scooter is $35 plus $5 per

hour for each hour the scooter is rented.

Which equation has a greater rate of change? The equation that represents the cost

of renting a bike or the equation that represents the cost of renting a scooter.


A. The scooter rental has a rate of change of 35, which is greater than the rate of change

of the bike rental.

B. The scooter rental has a rate of change of 40, which is greater than the rate of change

of the bike rental.

C. The bike rental has a rate of change of 8, which is greater than the rate of change of

the scooter rental.

D. The bike rental has a rate of change of 23, which is greater than the rate of change of

the scooter rental.

Answer 1

The correct option is C.

Explanation:

The bike shop owner rents out bikes and scooters.

The cost to rent a bike is $15 plus $8 per hour for each hour the bike is rented.

Rent of bike = Fixed rent + Variable rent

The rent function of a bike is

`f(x)=15+8t`

Where, t is number of hours.

The cost to rent a scooter is $35 plus $5 per hour for each hour the scooter is rented.

The rent function of a scooter is

`f(x)=35+5t`

Where, t is number of hours.

The slope intercept form of a line is

`y=mx+b`

Where, m is slope and b is y-intercept.

So by slope intercept form the rate of change of bike is $8 and rate of change of scooter is 5.

8>5

Therefor option C is correct.