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Elsa is pumping water into a tank at a rate of 15 liters per minute. Since she started pumping water, 13...

Elsa is pumping water into a tank at a rate of 15 liters per minute. Since she started pumping water, 13 liters has splashed out of the tank. Her goal is given by 15x - 13 ≤ 77, where x is the number of minutes she pumps water into the tank.
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 tank will have at most [] liters of water in it. This will take at most [] minutes.
- To meet the goal, the tank will have at most [] liters of water in it. This will take at least [] minutes.
- To meet the goal, the tank will have at least [] liters of water in it. This will take at most [] minutes.

Answer

(a) Solve the inequality: 15x - 13 ≤ 77

  1. Add 13 to both sides: 15x ≤ 90
  2. Divide by 15: x ≤ 6

Graph the solution on the number line: Shade the region from 0 to 6, including 6.

(b) To meet the goal, the tank will have at most 77 liters of water in it. This will take at most 6 minutes.

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