Question

This graph shows how the length of time a kayak is rented is related to the

rental cost. What is the rate of change shown in the graph?
Kayak Rental

A. 8 hours/dollar
B. 4 hours/dollar
C. $4/hour
D. $8/hour

Answer 1

$8/hour

Explanation:

Hi there!

In this scenario, the independent variable is time and the dependent variable is the cost. The cost of renting the kayak depends on how much time passes. Knowing this, the answer should be formatted like _ dollars/hour, not _hours/dollar. We can rule the first two options out.

Now, looking at the graph, when 1 hour passes, the cost is $8. This occurs at point (1,8). And this is constant throughout, for example, when 2 hours pass, the cost is $16 (2,16).

Therefore, the rate of change shown in the graph is $8/hour.

I hope this helps!

Answer 2

option D.

Explanation:

`rate \: of \: change \: = (change \: in \: y)/(change \: in \: x)`

let's take any point on the graph. let's say (2, 16)

and one point we know is (0, 0)

`rate \: of \: change = (16 - 0)/(2 - 0)`

= 16($) / 2 (hrs)

= 8 $/ hrs

that is option D.