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.

Respuesta :

Answer:

The unit rate of $10 per hour.

Step-by-step explanation:

Given

[tex]x = time[/tex]

[tex]y = amount[/tex]

[tex](x,y) = (1,10)[/tex]

See attachment for graph

Required

What does the given point represents

From the attachment, the origin of the graph is:

[tex](x_1,y_1) = (0,0)[/tex]

and we have the given point to be:

[tex](x_2,y_2) = (1,10)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{10-0}{1-0}[/tex]

[tex]m = \frac{10}{1}[/tex]

[tex]m = 10[/tex]

The slope represents $10/1 hour

Hence:

[tex](x,y) = (1,10)[/tex] means the unit rate is $10 per hour