Slope-Intercept Form — Quiz

Question 4 • Mathematics 8

At breakfast, a restaurant charges $2 for the first cup of orange juice and then $1 for each refill. Which graph represents this situation?

Answer

Image with description First-quadrant line graph titled Orange Juice. The horizontal axis is labeled Number of refills and the vertical axis is labeled Total cost. Both axes range from 0 to 10 in increments of 1. The visible x-axis labels are 1, 3, 5, 7, and 9. The visible y-axis labels are 1, 3, 5, 7, and 9. A line with an arrow begins at (0 comma 1) and passes through (1 comma 3), (2 comma 5), (3 comma 7), and (4 comma 9) before continuing upward to the right.

Image with description First-quadrant line graph titled Orange Juice. The horizontal axis is labeled Number of refills and the vertical axis is labeled Total cost. Both axes range from 0 to 10 in increments of 1. The visible x-axis labels are 2, 4, 6, and 8. The visible y-axis labels are 2, 4, 6, 8, and 10. A line with an arrow begins at (0 comma 2) and passes through (1 comma 4), (2 comma 6), (3 comma 8), and (4 comma 10) before continuing upward to the right.

Image with description First-quadrant line graph titled Orange Juice. The horizontal axis is labeled Number of refills and the vertical axis is labeled Total cost. Both axes range from 0 to 10 in increments of 1. The visible x-axis labels are 1, 3, 5, 7, and 9. The visible y-axis labels are 1, 3, 5, 7, and 9. A line with an arrow begins at (0 comma 1) and passes through (2 comma 3), (4 comma 5), (6 comma 7), and (8 comma 9) before continuing upward to the right.

Image with description First-quadrant line graph titled Orange Juice. The horizontal axis is labeled Number of refills and the vertical axis is labeled Total cost. Both axes range from 0 to 10 in increments of 1. The visible x-axis labels are 2, 4, 6, and 8. The visible y-axis labels are 2, 4, 6, 8, and 10. A line with an arrow begins at (0 comma 2) and passes through (2 comma 4), (4 comma 6), (6 comma 8), and (8 comma 10) before continuing upward to the right.

Explanation

With 0 refills, the first cup costs $2, so the graph starts at (0, 2). Each refill adds $1, meaning the total cost increases by $1 for every 1 refill; for example, 2 refills cost $4. Choice D starts at $2 and has this rate of increase.

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