The average daily maximum temperature for Shane's hometown can be modeled by the function f (x) = 12.2cos (πx6) + 54.9, where f (x) is the temperature in °F and x is the month. x = 0 corresponds to January. What is the average daily maximum temperature in March?

Question

Mathematics

Milo

4 January, 16:34

The average daily maximum temperature for Shane's hometown can be modeled by the function f (x) = 12.2cos (πx6) + 54.9, where f (x) is the temperature in °F and x is the month. x = 0 corresponds to January. What is the average daily maximum temperature in March?

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Answers (1)

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Mathew Young · Answer 1

For this case we have the following:

x = 0 (January)

x = 1 (February)

x = 2 (March)

Evaluating x = 2:

f (x) = 12.2 * cos (π * x ^ 6) + 54.9

f (2) = 12.2 * cos (π * (2) ^ 6) + 54.9

f (2) = 67.1

Answer:

the average daily maximum temperature in March is 67.1 ° F