13. braden is hiking on a mountain. at 11:00 a.m., he is at an elevation of 500 feet. at 2:00 p.m., he is at…

Explanation:

Step1: Determine time elapsed

From 11:00 a.m. to 2:00 p.m., the time elapsed is ( 2 - 11 + 12 = 3 ) hours (or directly count 3 hours from 11 am to 2 pm).

Step2: Determine elevation change

The elevation changes from 500 feet to 900 feet, so the change in elevation is ( 900 - 500 = 400 ) feet.

Step3: Calculate rate of change

Rate of change (slope) is change in elevation over change in time, so ( \frac{400}{3} \approx 133.33 ) feet per hour. The formula for rate of change is ( \text{Rate} = \frac{\text{Change in Elevation}}{\text{Change in Time}} ), so substituting values: ( \text{Rate} = \frac{900 - 500}{2 - 11 + 12} = \frac{400}{3} ) feet per hour.

Answer:

The rate of change in elevation is (\frac{400}{3}) feet per hour (or approximately (133.33) feet per hour).