Question

(1 point) The linear function y=3x+30 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 rate of change in the average cost of a haircut over time.

Answer 1

3 is the slope

Explanation:

Mathematically, a linear function can be represented in the form;

y = mx + c

where m represents the slope and c is the y-intercept of the function.

In the equation given in the question above;

The slope of the equation is 3

What this means is that, the average rate of change between two points in the plot of the linear function is 3

Mathematically speaking, we mean that given two years and their corresponding average haircut prices, then the average rate of change between these two years on the plot is 3