Asked by Student

he table below shows the temperature (in °F) t hours after midnight in Phoenix on March 15. The table shows values of this function recorded every two hours. (10 points)
a. Estimate the value of T'(8). Give units in your answer.
b. What is the meaning of T'(8)?

t 0 2 4 6 8 10 12 14
T 73 73 70 68 73 80 86 89

Answers

Answered by Damon
t 00 02 04 06 08 10 12 14
T 73 73 70 68 73 80 86 89

There are a million ways :)

One way:
T(10)= 80
T(6)= 68

change in T = 12
change in t = 4

delta T/delta t = 3 degrees/hour

average rate of change between 6 am and 10
am is used as slope at 8 am

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