The average daily minimum temperature for pablo's hometown can be modeled by the function f (x) = 15.3sin (πx6) + 44.1, where f (x) is the temperature in °f and x is the month. x = 0 corresponds to january. what is the average daily minimum temperature in june? round to the nearest tenth of a degree if needed.

Question

Charles Bonilla

Mathematics

30 July, 12:48

The average daily minimum temperature for pablo's hometown can be modeled by the function f (x) = 15.3sin (πx6) + 44.1, where f (x) is the temperature in °f and x is the month. x = 0 corresponds to january. what is the average daily minimum temperature in june? round to the nearest tenth of a degree if needed.

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Russell · Answer 1

The average daily minimum temperature is modeled by the function

f (x) = 15.3*sin (π*x*6) + 44.1

f (x) is the temperature in °f

x is the month. (x = 0 corresponds to January)

x = 5 corresponds to June

We just evaluate the function in x=5

f (5) = 15.3*sin (π*5*6) + 44.1 = 0 + 44.1 °f = 44.1 °f