Question

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?

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