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13. On January 1, 2000, there were 175,000 tons of trash in a landfill that had a capacity of 325,000 tons. Each year since then, the amount of trash in the landfill increased by 7,500 tons. If y represents the time, in years, after January 1, 2000, which of the following inequalities describes the set of years where the
landfill is at or above capacity?
A) 325,000 − 7,500 ≤ y
B) 325,000 ≤ 7,500y
C) 150,000 ≥ 7,500y
D) 175,000 + 7,500y ≥ 325,000

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Answer:

The answer would be D) 75,000+7,500y≥3,25000.

Step-by-step explanation:

Since there were 175,000 tons of trash in the landfill on January 1,2000, and the amount of trash in the landfill increased by 7,500 tons each year after that date, the amount of trash, in tons, in the landfill y years after January 1,2000, can be expressed as 1,75000+7,500y.

The landfill has a capacity of 325,000 tons.

Therefore, the set of years where the amount of trash in the landfill is at (equal to) or above (greater than) capacity is described by the inequality 1,75000+7,500y≥3,25000.

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