Question

The average daily maximum temperature for Laura’s hometown can be modeled by the function

Answer 1

Answer:

Average daily temperature in May is 11.9°C

Step-by-step explanation:

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

$f(x)=4.5\sin(\frac{\pi x }{6})+11.8$.

Since, x = 0 corresponds the month January.

Then, May is represented by x = 4.

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

$f(4)=4.5\sin(\frac{4\pi}{6})+11.8$

i.e. $f(4)=4.5\sin(\frac{12.56}{6})+11.8$

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

i.e. $f(4)=4.5\times 0.036+11.8$

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