Tables, Graphs, and Equations — Quiz

Question 1 • Mathematics 8

Some states pay 0 point 0 5 dollars for each can that is recycled. Which graph represents the amount of money earned, y , by recycling x cans in these states?

Answer

Image with description Line graph titled Recycling Money. The horizontal axis is labeled Cans and the vertical axis is labeled Dollars. The x-axis ranges from 0 to 10 in increments of 2. The visible x-axis labels are 2, 4, 6, 8, and 10. The y-axis ranges from 0 to 10 in increments of 2. The visible y-axis labels are 2, 4, 6, 8, and 10. A line with an arrow begins at (5 comma 0) and passes through approximately (6 comma 1), (8 comma 3), and (10 comma 5).

Image with description Line graph titled Recycling Money. The horizontal axis is labeled Cans and the vertical axis is labeled Dollars. The x-axis ranges from 0 to 200 in increments of 40. The visible x-axis labels are 40, 80, 120, 160, and 200. The y-axis ranges from 0 to 10 in increments of 2. The visible y-axis labels are 2, 4, 6, 8, and 10. A line with an arrow begins at (0 comma 0) and passes through (40 comma 2), (80 comma 4), (120 comma 6), (160 comma 8), and (200 comma 10).

Image with description Line graph titled Recycling Money. The horizontal axis is labeled Cans and the vertical axis is labeled Dollars. The x-axis ranges from 0 to 10 in increments of 2. The visible x-axis labels are 2, 4, 6, 8, and 10. The y-axis ranges from 0 to 200 in increments of 40. The visible y-axis labels are 40, 80, 120, 160, and 200. A line with an arrow begins at (0 comma 0) and passes through (2 comma 40), (4 comma 80), (6 comma 120), (8 comma 160), and (10 comma 200).

Image with description Line graph titled Recycling Money. The horizontal axis is labeled Cans and the vertical axis is labeled Dollars. The x-axis ranges from 0 to 10 in increments of 2. The visible x-axis labels are 2, 4, 6, 8, and 10. The y-axis ranges from 0 to 10 in increments of 2. The visible y-axis labels are 2, 4, 6, 8, and 10. A line with an arrow begins at (0 comma 5) and passes through (2 comma 7) and (4 comma 9) before continuing upward to the right.

Explanation

At $0.05 per can, the amount earned is y = 0.05x. For example, recycling 40 cans earns 40 × $0.05 = $2, so the graph should pass through (40, 2) and start at (0, 0). Choice B shows this relationship.

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