Question
To grow his ranch, a rancher is purchasing some bulls, which cost $4,900 apiece, and some cows, which cost $870 apiece. He doesn't want to spend more than $21,000 at this time. Write 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 Submit
Answers
GPT-4o mini
To formulate the inequality for the given situation, we need to establish the relationship between the costs of the bulls and cows with the budget constraint.
Let:
- \( x \) = the number of bulls
- \( y \) = the number of cows
The cost of the bulls is \( 4,900x \) and the cost of the cows is \( 870y \). The rancher does not want to spend more than $21,000, which means the total cost should be less than or equal to this amount.
We can write the inequality as follows:
\[
4900x + 870y \leq 21000
\]
This is the standard form of the inequality that describes the rancher's spending constraint.
Let:
- \( x \) = the number of bulls
- \( y \) = the number of cows
The cost of the bulls is \( 4,900x \) and the cost of the cows is \( 870y \). The rancher does not want to spend more than $21,000, which means the total cost should be less than or equal to this amount.
We can write the inequality as follows:
\[
4900x + 870y \leq 21000
\]
This is the standard form of the inequality that describes the rancher's spending constraint.