QuestionTo grow his ranch, a rancher is purchasing some bulls, which cost $\$ 5,100$ apiece, and some cows, which cost $\$ 1,000$ 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

Studdy Solution

STEP 1

1. The cost of each bull is $5,100.<br />2. The cost of each cow is$ 1,000.
3. The rancher does not want to spend more than $21,000.
4. \( x \) represents the number of bulls.
5. \( y \) represents the number of cows.

STEP 2

1. Identify the cost expressions for bulls and cows.
2. Write the inequality that represents the total cost constraint.

STEP 3

Identify the cost expressions for bulls and cows.
- The cost of $x$ bulls is $5100x$ . - The cost of $y$ cows is $1000y$ .

STEP 4

Write the inequality that represents the total cost constraint.
The rancher does not want to spend more than $21,000, so the total cost of bulls and cows should be less than or equal to$ 21,000.
$5100x + 1000y \leq 21000$
This inequality describes the situation in standard form.

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