Answers/Step-by-step explanation:
1. Create an equation.
Knowing that the flat fee for jobs is $400, and that the price may increase depending on the linear feet of granite used in the job, the function that gives us the price of a job depending on the amount of granite (linear feet) is the following:
[tex]P(x)= 80x+400[/tex].
2. Y-intercept.
The y-intercept is the point where the graph of a function touches the y axis. It's generated when x is 0. Hence, if we take the equation and substitute x by 0 we get the y-intercept. This is how to do it:
[tex]P(0)= 80(0)+400\\ \\y=400[/tex]
Therefore, the y-intercept of this graph is located at the point (0, 400).
3. What does the y-intercept represents.
It tells us that the minimal price of Jeri's job is $400, even if no granite is used on the job.
4. What is the value of the slope?
The slote of a linear equation is always the coefficient of x when the equation is solved for y. In this case, the slope of the graph is 80, since that's the number x is being multiplied by with the function solved for y.
5. What does it represent?
It represent the increase in price that a job has depending on the amount of granite (per linear foot) used on it.
