you are a farmer and want to spend under $35,000 on farm equipment. you need a hay baler that costs $6,250…

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? a 2,500x + 6,250 < 35,000; 11 plowing disks b 2,500x + 6,250 ≤ 35,000; 11 plowing disks c 2,500x + 6,250 < 35,000; 12 plowing disks d 2,500x + 6,250 ≤ 35,000; 12 plowing disks

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? a 2,500x + 6,250 < 35,000; 11 plowing disks b 2,500x + 6,250 ≤ 35,000; 11 plowing disks c 2,500x + 6,250 < 35,000; 12 plowing disks d 2,500x + 6,250 ≤ 35,000; 12 plowing disks

Answer

Explanation:

Step1: Set up the inequality

Let (x) be the number of plowing disks. The cost of the hay - baler is (6250) dollars and the cost of (x) plowing disks is (2500x) dollars. The total cost must be under (35000) dollars. So the inequality is (2500x + 6250<35000).

Step2: Solve the inequality for (x)

Subtract (6250) from both sides: (2500x+6250 - 6250<35000 - 6250) (2500x<28750) Divide both sides by (2500): (x<\frac{28750}{2500}) (x < 11.5)

Since (x) represents the number of plowing disks (a non - negative integer), the maximum value of (x) is (11).

Answer:

A. (2,500x + 6,250<35,000); (11) plowing disks