Question
There's a graph with two line that say (y=500x+4000 company A) and (Company B y=250x+5000) if the monthly sales is 5000$, which job pays more
Answers
Answered by
GPT-4o mini
To determine which job pays more at a monthly sales level of $5,000, we need to evaluate the outcomes for both companies at that sales figure.
### For Company A:
The equation is \( y = 500x + 4000 \).
We can set \( y = 5000 \) and solve for \( x \):
\[
5000 = 500x + 4000
\]
\[
5000 - 4000 = 500x
\]
\[
1000 = 500x
\]
\[
x = \frac{1000}{500} = 2
\]
### For Company B:
The equation is \( y = 250x + 5000 \).
Again, we set \( y = 5000 \) and solve for \( x \):
\[
5000 = 250x + 5000
\]
\[
5000 - 5000 = 250x
\]
\[
0 = 250x
\]
\[
x = 0
\]
### Conclusion:
- For Company A, when the sales are $5,000, the value of \( x \) (which might represent the number of sales or some hourly rate) is 2.
- For Company B, when the sales are also $5,000, the value of \( x \) is 0.
Since Company A has a positive value at the sales of $5,000, while Company B has a value of $0, **Company A pays more** at this level of sales.
### For Company A:
The equation is \( y = 500x + 4000 \).
We can set \( y = 5000 \) and solve for \( x \):
\[
5000 = 500x + 4000
\]
\[
5000 - 4000 = 500x
\]
\[
1000 = 500x
\]
\[
x = \frac{1000}{500} = 2
\]
### For Company B:
The equation is \( y = 250x + 5000 \).
Again, we set \( y = 5000 \) and solve for \( x \):
\[
5000 = 250x + 5000
\]
\[
5000 - 5000 = 250x
\]
\[
0 = 250x
\]
\[
x = 0
\]
### Conclusion:
- For Company A, when the sales are $5,000, the value of \( x \) (which might represent the number of sales or some hourly rate) is 2.
- For Company B, when the sales are also $5,000, the value of \( x \) is 0.
Since Company A has a positive value at the sales of $5,000, while Company B has a value of $0, **Company A pays more** at this level of sales.