Question

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change in feet per hour?
*
1/75
150
300
75

Answer 1

To find the average rate of change in altitude per hour, we can use the formula:

\[
\text{Average Rate of Change} = \frac{\text{Change in altitude}}{\text{Change in time}}
\]

In this case, the change in altitude from 2 hours to 6 hours is:

\[
\text{Change in altitude} = 700 \text{ feet} - 400 \text{ feet} = 300 \text{ feet}
\]

The change in time is:

\[
\text{Change in time} = 6 \text{ hours} - 2 \text{ hours} = 4 \text{ hours}
\]

Now, we can calculate the average rate of change:

\[
\text{Average Rate of Change} = \frac{300 \text{ feet}}{4 \text{ hours}} = 75 \text{ feet per hour}
\]

Thus, the average rate of change is **75 feet per hour**.