The average monthly temperature, y, in degrees Fahrenheit, for Juneau, Alaska, can be modeled by y=16sin((pi/6)x(2pi/3))+40, where x is the month of the year (January = 1, February = 2, ... December = 12).

Upload a graph of this sin function and include a table of values with x-values from 1 to 12 and y-values rounded to the nearest whole number.

What is the highest average monthly temperature? Round to nearest degree. In which month does this occur?

What is the lowest average monthly temperature? Round to nearest degree. In which month does this occur?

Based on this model, what will be the predicted temperature for the month of August? Round to nearest degree.

What was your initial reaction to the problem when you first saw it? Why?

What steps did you take to begin solving the problem? Was your initial plan of action effective at solving the problem, or did you need to rework your plan at some point along the way?