Final answer:
To create the inequality, we let x represent the number of acres of soybeans planted, y represent the number of acres of wheat planted, and set the constraint that the total cost of planting both crops must not exceed $100,000.
Step-by-step explanation:
To write an inequality to describe the constraints, we can start by letting x represent the number of acres planted with soybeans and let y represent the number of acres planted with wheat.
The cost of planting soybeans is $200 per acre, so the cost of planting x acres of soybeans would be 200x.
The cost of planting wheat is $500 per acre, so the cost of planting y acres of wheat would be 500y.
The total cost of planting both crops must not exceed $100,000, so the inequality can be written as: 200x + 500y ≤ 100,000.