If an object moves in a straight line with position function s = f(t), then the average velocity between t = a and t = b is f(b) − f(a)/b − a
and the velocity at t = c is f '(c). Thus the Mean Value Theorem tells us that at some time t = c between a and b the instantaneous velocity f '(c) is equal to the average velocity. For instance, if a car traveled 150 km in 2 hours, then the speedometer must have read km/h at least once.
In general, the Mean Value Theorem can be interpreted as saying that there is a number at which the instantaneous rate of change is equal to the average rate of change over an interval.

75 km/hr

Step-by-step explanation:

So, if a car travels 150 km in 2hours.

Then;

f(t=0) = 0

f(t = 2 hours) = 150 km

Therefore;

f'(c) (speedometer reading) = f(t=2)-f(t=0)/(2-0)

f'(c) (speedometer reading) = 150/2  km/hr

f'(c) (speedometer reading) = 75 km/hr

w

step-by-step explanation:

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.