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Linear Inequalities in One or Two Variables

SAT Math· difficulty 3/5

A pool can hold up to 5,0005{,}000 gallons. It currently has 1,2001{,}200 gallons and is being filled at 4040 gal/min. For how long can the pool be filled without overflowing?

  • A

    t≤125t \le 125 min

  • B

    t≤80t \le 80 min

  • C

    t≤30t \le 30 min

  • D

    t≤95t \le 95 min

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Explanation

1200+40t≤5000⇒40t≤3800⇒t≤951200 + 40t \le 5000 \Rightarrow 40t \le 3800 \Rightarrow t \le 95.

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