Mathematics

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?

2 Answer

  • Average rate of change =
    (change in height during some time) / (length of time for the change).

    Change in height = (700 feet - 400 feet) = 300 feet

    Time for the change = (6 hours - 2 hours) = 4 hours

    Average rate of change = (300 feet) / (4 hours) = 75 feet per hour
  • Answer:

    75 feet per hour is the rate of change in altitude.

    Step-by-step explanation:

    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 400 feet.

    We have to determine the average rate of change in altitude.

    We know rate of change in altitude = [tex]\frac{\text{(Change in altitude)}}{\text{Change in time}}[/tex]

    = [tex]\frac{700-400}{6-2}[/tex]

    = [tex]\frac{300}{4}[/tex]

    = 75 feet per hour

    Therefore, 75 feet per hour is the rate of change in altitude.