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?

Round to the nearest tenth of a degree if needed.

Answer 1

The average daily maximum temperature in March is of 61 degrees.

Explanation:

The average daily maximum temperature in his hometown in x months after January is given by:

`f(x) = 12.2\cos{((\pi x)/(6))} + 54.9`

What is the average daily maximum temperature in March?

March is 3 - 1 = 2 months after January, so this is f(2).

`f(2) = 12.2\cos{((\pi*2)/(6))} + 54.9 = 61`

The average daily maximum temperature in March is of 61 degrees.