Tables, Graphs, and Equations — Quiz

Question 6 • Mathematics 8

Each time Kristine gets paid, she spends 20 dollars and saves the rest. If the amount Kristine earns is represented by x and the amount she saves is represented by y , which graph models her savings?

Answer

Image with description A Cartesian coordinate graph shows a linear relationship on a grid. The vertical axis is labeled "Money saved" and y, with grid lines every 20 units and labeled values of 20, 40, 60, 80, and 100. The horizontal axis is labeled "Money earned" and x, with grid lines every 10 units and labeled values of 10, 20, 30, 40, and 50. A straight line with an arrowhead at the upper-right end rises from left to right, indicating a constant rate of increase. The line intersects the y-axis at (0,20) and passes through the points (20 comma 40) and (40 comma 60).

Image with description A Cartesian coordinate graph shows a linear relationship on a grid. The vertical axis is labeled "Money saved" and y, with grid lines every 100 units and labeled values of 100, 200, 300, 400, and 500. The horizontal axis is labeled "Money earned" and x, with grid lines every 10 units and labeled values of 10, 20, 30, 40, and 50. A straight line with an arrowhead at the upper-right end rises from left to right, indicating a constant rate of increase. The line passes through the origin (0 comma 0) and the points (10 comma 200) and (20 comma 400).

Image with description A Cartesian coordinate graph shows a linear relationship on a grid. The vertical axis is labeled "Money saved" and y, with grid lines every 10 units and labeled values of 10, 20, 30, 40, and 50. The horizontal axis is labeled "Money earned" and x, with grid lines every 10 units and labeled values of 10, 20, 30, 40, and 50. A straight line with an arrowhead at the upper-right end rises from left to right, indicating a constant rate of increase. The line intersects the x-axis at (20 comma 0) and passes through the point (50 comma 30).

Image with description A Cartesian coordinate graph shows a linear relationship on a grid. The vertical axis is labeled "Money saved" and y, with grid lines every 2 units and labeled values of 2, 4, 6, 8, and 10. The horizontal axis is labeled "Money earned" and x, with grid lines every 10 units and labeled values of 10, 20, 30, 40, and 50. A straight line with an arrowhead at the upper-right end rises from left to right, indicating a constant rate of increase. The line passes through the origin (0 comma 0) and the point (40 comma 2).

Explanation

Kristine saves her earnings minus the $20 she spends, so the relationship is y = x − 20. When she earns $20, she saves $0, so the graph crosses the x-axis at (20, 0); when she earns $50, she saves $30. Choice C shows both points and models her savings.

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