Question

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

Answer 1

15.7

Explanation:

I took the quiz and the other answer was wrong. This one is right

Answer 2

Average daily temperature in May is 11.9°C

Explanation:

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

`f(x)=4.5\sin((\pi x )/(6))+11.8`.

Since, x = 0 corresponds the month January.

Then, May is represented by x = 4.

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

`f(4)=4.5\sin((4\pi)/(6))+11.8`

i.e.
`f(4)=4.5\sin((12.56)/(6))+11.8`

i.e.
`f(4)=4.5\sin(2.09)+11.8`

i.e.
`f(4)=4.5* 0.036+11.8`

i.e.
`f(4)=0.16+11.8`

i.e. f(4) = 11.9°C

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