Question

To grow his ranch, a rancher is purchasing some bulls, which cost $5,700 apiece, and some cows, which cost $950 apiece. He doesn't want to spend more than $27,000 at this time.
Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of bulls
y = the number of cows

Answer 1

To set up the inequality that describes this situation, we need to formulate it based on the costs of the bulls and cows and the total budget.

Let:
- \(x\) = the number of bulls
- \(y\) = the number of cows

The cost of each bull is $5,700, so the total cost for the bulls would be \(5,700x\).
The cost of each cow is $950, so the total cost for the cows would be \(950y\).
The rancher doesn't want to spend more than $27,000, which gives us the inequality:

\[
5,700x + 950y \leq 27,000
\]

To convert this into standard form, we'll rearrange it:

\[
5,700x + 950y - 27,000 \leq 0
\]

This is the inequality in standard form that describes the situation.