Question

A swim coach has at most $800 to buy equipment for the swim team. Each pull buoys costs $5.50 and each kickboard costs $10. Let x represent the number of pull buoys and y represent the number of kick boards.
A) Write an inequality for the scenario
B) could the coach purchase zeros pull buoys and 50 kick boards?
C) could the coach purchase 125 pull buoys and 25 kick boards?
D) Whats another combination of pull buoys and kick boards that work for your inequality?

Answer 1

Answer:

  A)  5.50x + 10y ≤ 800

  B)  yes

  C)  no

  D)  80 pull buoys and 35 kick boards

Step-by-step explanation:

A) The sum of costs must not exceed the budget:

  5.50x +10.00y ≤ 800

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B) 5.50(0) +10.00(50) = 500 ≤ 800 . . . . . yes, the coach could buy these

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C) 5.50(125) +10.00(25) = 937.50 > 800 . . . no, they cost too much

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D) The point (80, 35) is in the solution space. The coach could buy 80 pull buoys and 35 kick boards.