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Leila is pumping water into an aquarium at a rate of 11 liters per minute. The aquarium had 41 liters of...

Leila is pumping water into an aquarium at a rate of 11 liters per minute. The aquarium had 41 liters of water in it before she started. Her goal is given by 11x + 41 ≤ 250, where x is the number of minutes she pumps water into the aquarium.
Complete the parts below.
(a) Solve the given inequality and graph the solution on the number line below.
(b) Choose and complete the statement that best describes the solution.
- To meet the goal, the aquarium will have at least [] liters of water in it. This will take at most [] minutes.
- To meet the goal, the aquarium will have at most [] liters of water in it. This will take at least [] minutes.
- To meet the goal, the aquarium will have at most [] liters of water in it. This will take at most [] minutes.

Answer

(a) Solve the inequality: 11x + 41 ≤ 250

  1. Subtract 41 from both sides: 11x ≤ 209
  2. Divide both sides by 11: x ≤ 19

Graph the solution on the number line: x is less than or equal to 19.

(b) To meet the goal, the aquarium will have at most 250 liters of water in it. This will take at most 19 minutes.

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