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: The function,
$$f$$
, defines the cost of supplies for a lemonade stand as a function of the number of cups of lemonade you expect to sell.
$$f(x) = .5x + 10$$
Write
$$f^{-1}$$
algebraically and define the domain and range for both
$$f$$
and
$$f^{-1}$$
in the context of the problem.


aligns: no