Question

Yvette is saving money to buy holiday gifts. She will save the money she makes at her part-time job. However, she borrowed $25 from her sister that she has to pay back before she can start saving.

This relationship can be shown by a linear function. Below is a table showing how many hours Yvette has worked (input), and how much money she's saved (output).


Hours Worked (x) Amount Saved (y)

0 -$25

4 $14

8 $53

12 $92

16 $131

Which of the following statements are true regarding the graph of this linear function? Select all that apply.


Group of answer choices-


The slope of the line, 25, is the amount of money she makes per hour of work.


The slope of the line, 9.75, is the amount of money she starts with having worked 0 hours.


The y-intercept of the line, 0, is the amount of money she starts with, since she's worked 0 hours.


The y-intercept of the line, -25, is the amount of money she starts with, since she owes her sister $25 and has worked 0 hours.


The slope of the lines, 9.75, is the amount of money she makes per hour of work.

Answer 1

Explanation:

The statements that are true regarding the graph of this linear function are:

The y-intercept of the line, -25, is the amount of money she starts with, since she owes her sister $25 and has worked 0 hours.

The slope of the line, 25, is the amount of money she makes per hour of work.

The statement:

The slope of the line, 9.75, is the amount of money she starts with having worked 0 hours. is not true.

And the statement:

The y-intercept of the line, 0, is the amount of money she starts with, since she's worked 0 hours. is not true because the y-intercept is not 0, it's -25, which represents the amount of money she owes to her sister.