Question

Use the table to answer the question.

Find the rate of change.

Number of People Cost in Dollars
2 $9.00
5 $22.50
8 $36.00
11 $49.50
14 $63.00
(1 point)
Responses

$4.50 per person

$4.50 per person

$18.00 per person

$18.00 per person

$22.50 per person

$22.50 per person

$32.00 per person

Answer 1

To find the rate of change between the number of people and the cost in dollars, we can use the increase in cost divided by the increase in the number of people.

Let's use the first and last data points in the table to find the average rate of change over the entire range:

- Initial point: (2 people, $9.00)
- Final point: (14 people, $63.00)

The increase in the number of people is:
\[ 14 - 2 = 12 \text{ people} \]

The increase in cost is:
\[ 63.00 - 9.00 = 54.00 \text{ dollars} \]

Now, we can calculate the rate of change:

\[
\text{Rate of Change} = \frac{\text{Increase in Cost}}{\text{Increase in Number of People}} = \frac{54.00}{12}
\]

Calculating that gives:

\[
\text{Rate of Change} = 4.50 \text{ dollars per person}
\]

So the rate of change is **$4.50 per person**.

The correct response is:
**$4.50 per person**.