Question
To grow his ranch, a rancher is purchasing some bulls, which cost $9,400 apiece, and some cows, which cost $950 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
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
Answers
GPT-4o mini
To formulate the inequality describing the rancher's situation, we will use the variables:
- \( x \): the number of bulls
- \( y \): the number of cows
The costs are as follows:
- Each bull costs $9,400, so the total cost for \( x \) bulls is \( 9400x \).
- Each cow costs $950, so the total cost for \( y \) cows is \( 950y \).
Since the rancher does not want to spend more than $21,000, we can write the inequality as:
\[
9400x + 950y \leq 21000
\]
To put this in standard form, we rearrange it:
\[
9400x + 950y - 21000 \leq 0
\]
So, the inequality in standard form is:
\[
9400x + 950y - 21000 \leq 0
\]
- \( x \): the number of bulls
- \( y \): the number of cows
The costs are as follows:
- Each bull costs $9,400, so the total cost for \( x \) bulls is \( 9400x \).
- Each cow costs $950, so the total cost for \( y \) cows is \( 950y \).
Since the rancher does not want to spend more than $21,000, we can write the inequality as:
\[
9400x + 950y \leq 21000
\]
To put this in standard form, we rearrange it:
\[
9400x + 950y - 21000 \leq 0
\]
So, the inequality in standard form is:
\[
9400x + 950y - 21000 \leq 0
\]