Due to the tide, the water level rises and falls daily in Buzzard's Bay. D gives the depth of the water, in meters, t hours after midnight on a certain day. What is the best interpretation for the following statement? The value of the derivative of D at t = 8 is equal to -0.5. Choose 1 answer a. At 8 a.m. the water level decreased at a rate of 0.5 meters per hour. b. At 8 a.m. the water level decreased at a rate of 0.5 meters. c. At 8 a.m. the water level was 0.5 meters below sea level. d. Until 8 a.m. the water level decreased at a rate of 0.5 meters per hour.

Question

contestada

Respuesta :

MrRoyal MrRoyal · Answer 1 · 2022-12-20T11:51:51+01:00

The correct interpretation for the statement D'(8) = -0.5 is (c) At 8 a.m. the water level was 0.5 meters below sea level.

From the question, we have the following parameters that can be used in our computation:

The function D gives the depth of the water, in meters, t hours after midnight on a certain day

This means that

D = depth in meters

t = time in hours

From the question, we have

Notation = D(n)

Also, from the question, we have

D'(8) = -0.5

This is the inverse of the function D(t)

So, the values of the parameters are

D(t) = -0.5

t = 8

This means that the number of hours is 8 and the depth is -0.5 meters

Hence, the interpretation of D'(8) = -0.5 is (c) At 8 a.m. the water level was 0.5 meters below sea level.

Read more about inverse functions at

brainly.com/question/3831584

#SPJ1