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

1 answer

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.