standard_description: Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height.
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