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Linear equations in two variables SAT question

Math · Algebra · Easy · Answer it here, explanation included.

  • The line slants sharply down from left to right.
  • The line passes through the following points:
    • (0 comma 18)
    • (4 comma 10)
    • (7 comma 4)
    • (9 comma 0)

The graph shows the possible combinations of the number of pounds of tangerines and lemons that could be purchased for  at a certain store. If Melvin purchased lemons and pounds of tangerines for a total of , how many pounds of lemons did he purchase?

ExplanationShow

Choice B is correct. It's given that the graph shows the possible combinations of the number of pounds of tangerines, , and the number of pounds of lemons, , that could be purchased for at a certain store. If Melvin purchased lemons and pounds of tangerines for a total of , the number of pounds of lemons he purchased is represented by the y-coordinate of the point on the graph where . For the graph shown, when , . Therefore, if Melvin purchased lemons and pounds of tangerines for a total of , then he purchased pounds of lemons.

Choice A is incorrect. This is the number of pounds of tangerines Melvin purchased if he purchased tangerines and pounds of lemons for a total of .

Choice C is incorrect. This is the number of pounds of lemons Melvin purchased if he purchased lemons and pounds of tangerines for a total of .

Choice D is incorrect. This is the number of pounds of lemons Melvin purchased if he purchased lemons and pound of tangerines for a total of .

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