Chad used the table to show the ratios of the different types of sports game cards that he owns. For every 2 offense cards, he owns 4 defense cards. Which graph represents the proportional relationship between his defense and offense cards? Chad’s Sports Cards Card Type Kicking Team Offense Special Teams Defense Quantity 1 2 3 4
Answer
A
Image with description First quadrant graph with title Chad's Cards. The x axis is labeled offense and goes from 0 to 9 by ones. The y axis is labeled defense and goes from 0 to 9 by ones. There is a point at (4 comma 2) and a point at (8 comma 4).
B
Image with description First quadrant graph with title Chad's Cards. The x axis is labeled offense and goes from 0 to 9 by ones. The y axis is labeled defense and goes from 0 to 9 by ones. There is a point at (4 comma 2) and a point at (6 comma 4).
C
Image with description First quadrant graph with title Chad's Cards. The x axis is labeled offense and goes from 0 to 9 by ones. The y axis is labeled defense and goes from 0 to 9 by ones. There is a point at (2 comma 4) and a point at (4 comma 6).
D
Image with description First quadrant graph with title Chad's Cards. The x axis is labeled offense and goes from 0 to 9 by ones. The y axis is labeled defense and goes from 0 to 9 by ones. There is a point at (2 comma 4) and a point at (4 comma 8).
Explanation
The graph uses offense as the x-coordinate and defense as the y-coordinate. The ratio of 2 offense cards to 4 defense cards gives the point (2, 4); doubling both amounts gives (4, 8). Choice D shows these points, so it represents the proportional relationship.
AI-written and checked against the verified answer.