Question

jose and maris work as sales people for different car dealerships. jose earns a monthly salary of $3,500 plus a 6% commission on his sales, x.
maris earns a monthly salary of $4,000 plus a 4% commission on her sales, x. the equations that represent the total monthly earnings, y, based on
the amount of sales, x, are shown below.
jose \\( y = 3,500 + 0.06x \\)
maris \\( y = 4,000 + 0.04x \\)
when the equations are graphed on the desmos graphing calculator, as shown below, the lines intersect at the point (25,000, 5,000).
graph with x-axis from 0 to 30000, y-axis from 0 to 10000, showing two lines intersecting at (25000, 5000)
what does this point mean in relationship to the scenario above?
\\( \circ \\) both persons will earn a monthly salary of $5,000 for $25,000 in sales.
\\( \circ \\) both persons will earn a monthly salary of $25,000 for $5,000 in sales.
\\( \circ \\) both persons will earn a monthly salary of $25,000 for 5,000 vehicles.
\\( \circ \\) both persons will earn a monthly salary of $5,000 for 25,000 vehicles.

Explanation:

In the equations, \(x\) represents sales amount and \(y\) represents total monthly earnings. The intersection point \((25000, 5000)\) means when sales (\(x\)) is \$25,000, both Jose and Maris have total earnings (LXI3) of \$5,000. Let's analyze each option:

• Option 1: Matches the interpretation (sales = \$25,000, earnings = \$5,000).
• Option 2: Swaps sales and earnings values, incorrect.
• Option 3: Misinterprets \(x\) as vehicles and \(y\) as \$25,000, incorrect.
• Option 4: Misinterprets \(x\) as vehicles, incorrect.

Answer:

A. Both persons will earn a monthly salary of $5,000 for $25,000 in sales.