Question

Leo works at the Central Valley Zoo. Today, he is keeping track of the number of visitors throughout the day. This table shows how many people were at the zoo at various times.

Time|People
10 AM|65
11 AM|97
12 PM|113
1 PM|108
2 PM|133

Complete the sentence to describe the average rate of change shown in the table.

The number of people at the zoo increased by an average of ___ people per hour between 10 A.M. and 2 P.M.

Answer 1

To calculate the average rate of change in the number of people at the zoo between 10 A.M. and 2 P.M., we can use the formula for average rate of change:

\[
\text{Average rate of change} = \frac{\text{Change in number of people}}{\text{Change in time}}
\]

From the table, we have:
- At 10 A.M., there were 65 people.
- At 2 P.M., there were 133 people.

The change in the number of people is:

\[
133 - 65 = 68
\]

The change in time from 10 A.M. to 2 P.M. is 4 hours.

Now we can calculate the average rate of change:

\[
\text{Average rate of change} = \frac{68}{4} = 17
\]

So, the complete sentence is:

The number of people at the zoo increased by an average of **17** people per hour between 10 A.M. and 2 P.M.