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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

Respuesta :

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,

[tex]f(x)=4.5\sin(\frac{\pi x }{6})+11.8[/tex].

Since, x = 0 corresponds the month January.

Then, May is represented by x = 4.

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

[tex]f(4)=4.5\sin(\frac{4\pi}{6})+11.8[/tex]

i.e. [tex]f(4)=4.5\sin(\frac{12.56}{6})+11.8[/tex]

i.e. [tex]f(4)=4.5\sin(2.09)+11.8[/tex]

i.e. [tex]f(4)=4.5\times 0.036+11.8[/tex]

i.e. [tex]f(4)=0.16+11.8[/tex]

i.e. f(4) = 11.9°C

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

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