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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.

Respuesta :

Answer:

The correct option is C.

Step-by-step 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

[tex]f(x)=15+8t[/tex]

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

[tex]f(x)=35+5t[/tex]

Where, t is number of hours.

The slope intercept form of a line is

[tex]y=mx+b[/tex]

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.

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