SOLUTION: The average monthly temperature of Littletown can be modelled by the function T(t)=14.6sin 0.5(t-1) + 9.15 where T is the temperature in degrees celsius and t=0 represents January,

Algebra ->  Trigonometry-basics -> SOLUTION: The average monthly temperature of Littletown can be modelled by the function T(t)=14.6sin 0.5(t-1) + 9.15 where T is the temperature in degrees celsius and t=0 represents January,      Log On


   

Question 1091238: The average monthly temperature of Littletown can be modelled by the function T(t)=14.6sin 0.5(t-1) + 9.15 where T is the temperature in degrees celsius and t=0 represents January, t=1 represents February 1, and so on.
In which month is the average monthly temperature the highest?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
T(t)=14.6sin 0.5(t-1) + 9.15
graph%28300%2C300%2C-6%2C12%2C-20%2C50%2C14.6%2Asin%280.5%28x-1%29%29%2B9.15%29
From the graph, look at x=4 and x=5
x=4, temperature is 14.6 sin (1.5)+9.15=23.71
x=5, temperature is 14.6 sin (2)+9.15=22.43
x=4 would be May.