Question

Mrs. Lenz rented a scooter during her beach vacation. The cost of the scooter rental is shown for different periods of time. What does the point (1, 10) represent?

a.

The unit rate of $10 per hour.




b.

The unit rate of $1 per hour.




c.

The cost of renting the scooter for 10 hours is $1.




d.

The cost of renting the scooter for 10 hours is $10.

Answer 1

The unit rate of $10 per hour.

Explanation:

Given

`x = time`

`y = amount`

`(x,y) = (1,10)`

See attachment for graph

Required

What does the given point represents

From the attachment, the origin of the graph is:

`(x_1,y_1) = (0,0)`

and we have the given point to be:

`(x_2,y_2) = (1,10)`

Calculate the slope (m)

`m = (y_2 - y_1)/(x_2 - x_1)`

`m = (10-0)/(1-0)`

`m = (10)/(1)`

`m = 10`

The slope represents $10/1 hour

Hence:

`(x,y) = (1,10)` means the unit rate is $10 per hour