Question

A diver is 20 feet below the surface of the water 15 seconds after he entered the water and 110 feet below the surface after 45 seconds. What is the rate of change in feet per second?

a) 3 feet per second
b) 12 feet per second
c) 5 feet per second
d) 9 feet per second

Answer 1

To find the rate of change in the diver's depth, subtract the initial depth from the final depth, and then divide by the time interval. The result is a rate of change of 3 feet per second.

Step-by-step explanation:

To determine the rate of change of the diver's depth, we can use the information given about the diver's depth after certain time intervals. The diver is 20 feet below after 15 seconds and 110 feet below after 45 seconds. We calculate the difference in depth and divide by the difference in time to find the rate of change.

Change in depth = 110 feet - 20 feet = 90 feetChange in time = 45 seconds - 15 seconds = 30 secondsRate of change = Change in depth / Change in time = 90 feet / 30 seconds

Thus, the rate of change is 3 feet per second (Option a).