The average daily maximum temperature for laura’s hometown can be modeled by the function
f(x)=4.5sin(
πx
6

)+11.8
, where
f(x)
is the temperature in °c and x is the month.
x = 0 corresponds to january.
what is the average daily maximum temperature in may?

round to the nearest tenth of a degree if needed.
use 3.14 for
π

Average daily temperature in May is 11.9°C

Step-by-step explanation:

We are given the function for the average daily temperature as,

.

Since, x = 0 corresponds the month January.

Then, May is represented by x = 4.

Substituting x= 4 in the given function, we get,

i.e.

i.e.

i.e.

i.e.

i.e. f(4) = 11.9°C

Thus, the average daily temperature in May is 11.9°C

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