The linear function y=2x+28 models the average cost of a haircut in a certain city, where y, is the average price of a haircut x years after 2000. Find the slope for the model. Then describe what this means in terms of the unit rate of change in the average cost of a haircut over time.

The slope of the model is .

The value of the slope indicates that the average cost of a hair cut is increased by 2 US dollars each year.

Step-by-step explanation:

We have to notice that given function is a linear function, that is, a first order polynomial, whose standard form is described below:

Where:

- Slope, dimensionless.

- Independent variable, dimensionless.

- Dependent variable, dimensionless.

- y-Intercept, dimensionless.

In this case, we use the linear function , where is the time after 2000, measured in years, and is the average cost of a hair cut. The slope of the model is .

The value of the slope indicates that the average cost of a hair cut is increased by 2 US dollars each year.