standard_description: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
problem_activity: Problem 1
The average monthly temperature, in degrees Celsius, in a coastal city in the United States is periodic and can be modeled with the equation
$${y=-8\mathrm{cos}\left((x-1)\left(\pi\over6\right)\right)+17.5}$$
, where
$$x$$
represents the month,
$$x=1$$
represents January, and
$$y$$
represents the average temperature in degrees Celsius.
Below is the graph of the equation.
[IMG]
A tourist wants to visit the city when the average temperature is closest to 25℃. What recommendations would you make regarding when the tourist should travel?
Problem 2
Do the activity
Burning Daylight
by Desmos. Skip slides 6 and 7.


aligns: no