The average daily maximum temperature for Laura’s hometown can be modeled by the function f(x)=4.5sin(πx6)+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 .

1.45?? confused!!

1 answer

May is the 5th month. So,

f(4)=4.5sin(4π/6)+11.8 = 4.6*√3/2 + 11.8 = 15.784

and it must be a strange location, since the minimum temperature occurs in October . . .