You are a farmer and want to spend under $35,000 on farm equipment. You need a hay baler that costs $6,250 and several plowing disks cost $2,500 each. Write an inequality that models how many plowing disks could be purchased within your budget. What is the maximum number of plowing disks you can buy?

Question

You are a farmer and want to spend under $35,000 on farm equipment. You need a hay baler that costs $6,250 and several plowing disks cost $2,500 each. Write an inequality that models how many plowing disks could be purchased within your budget. What is the maximum number of plowing disks you can buy?

Responses

A 2,500x + 6,250 < 35,000; 11 plowing disks2,500x + 6,250 < 35,000; 11 plowing disks

B 2,500x + 6,250 ≤ 35,000; 11 plowing disks2,500x + 6,250 ≤ 35,000; 11 plowing disks

C 2,500x + 6,250 < 35,000; 12 plowing disks2,500x + 6,250 < 35,000; 12 plowing disks

D 2,500x + 6,250 ≤ 35,000; 12 plowing disks

Answer 1

B 2,500x + 6,250 ≤ 35,000; 11 plowing disks

The inequality should be less than or equal to so that the total cost does not exceed the budget. The maximum number of plowing disks that can be purchased would be when the inequality is equal to the total budget, which in this case would be 11 plowing disks.