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David is keeping track of the internal temperature of a chicken he is cooking. The table below
shows how its temperature is a function of the time it has been in the oven. Which of the
following gives the average rate that the temperature is increasing at from 15 to 45 minutes?
(1) 2.1 °F per minute
Time (min)
0 15 25
60
(2) 2.4 °F per minute
Temperature (°F) 72 90 113 153 167
(3) 2.8 °F per minute
23 + 40 +14=77
(4) 3.2 °F per minute
77-3=25.7

Respuesta :

Using the average rate of change, it is found that the average rate is of:

(1) 2.1 °F per minute

What is the average rate of change of a function?

It is given by the change in the output divided by the change in the input.

In this problem:

  • At 15 minutes, the temperature was of 90ºF.
  • At 45 minutes, the temperature was fo 153ºF.

Hence, in 30 minutes, the temperature increased 63ºF, hence the rate is given by:

r = 63/30 = 2.1 °F per minute.

More can be learned about the average rate of change at https://brainly.com/question/24313700

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