Answer:
Average daily maximum temperature of May is 15.7° C
Step-by-step explanation:
The average daily maximum temperature for Laura's hometown can be modeled by the function f(x) = [tex]4.5sin(\frac{\pi x}{6})+11.8[/tex]
Where x is the number of month.
We have to calculate the average daily maximum temperature in May.
Since x is the number of month so we will put x = 4 in the given function.
f(4) = [tex]4.5sin(\frac{4\pi }{6})+11.8[/tex]
f(4) = [tex]4.5sin(\frac{2\pi }{3})+11.8[/tex]
f(4) = [tex]4.5sin(\frac{360}{3})+11.8[/tex] [since 2π = 360°]
f(4) = [tex]4.5sin(120)+11.8[/tex]
f(4) = [tex]4.5sin(180-60)+11.8[/tex]
f(4) = 4.5sin(60°) + 11.8 [since sin(180-∅) = sin∅]
f(4) = [tex](4.5)(\frac{\sqrt{3}}{2})+11.8[/tex]
f(4) = 3.897 + 11.8 = 15.7° °C
The average daily maximum temperature of May is 15.7° C
