Question

Sam is on a hike. After an hour he is at altitude of 150 feet. After 2 hours, he is at and altitude of 300 feet. After 4 hours, he is at an altitude of 600 feet and after 6 hours, he is at an altitude of 900 feet. What is Sam's rate of change between 1 and 4 hours?

A. 145
B. 125
C. 150
D. 135

Answer 1

Sam's rate of change between 1 and 4 hours is 150 feet per hour.

Step-by-step explanation:

To find Sam's rate of change between 1 and 4 hours, we need to calculate the change in altitude and time during this period. From 1 hour to 4 hours, the change in altitude is 600 - 150 = 450 feet, and the change in time is 4 - 1 = 3 hours. Therefore, Sam's rate of change between 1 and 4 hours is 450/3 = 150 feet per hour. Therefore, the correct answer is C. 150.