A car salesperson, Lee, earns [tex]1 \%[/tex] of the purchase price of every car he sells. A typical car at his company sells for [tex]\$20,000[/tex]. This equation helps determine how many cars Lee must sell each month to earn [tex]\$4,000[/tex] per month:

[tex]20,000 \times 0.01 \times y = 4,000[/tex]

What is [tex]y[/tex]?

A. 5
B. 2
C. 20
D. 50



Answer :

Sure! Let's solve for [tex]\( y \)[/tex] using the given equation step-by-step:

The equation provided is:
[tex]\[ 20,000 \times 0.01 \times y = 4,000 \][/tex]

First, let's simplify the left side of the equation. Multiply the car price ([tex]$20,000) by the commission rate (1%, which is 0.01 in decimal form): \[ 20,000 \times 0.01 = 200 \] So the equation now becomes: \[ 200 \times y = 4,000 \] Next, to solve for \( y \), divide both sides of the equation by 200: \[ y = \frac{4,000}{200} \] Divide the right-hand side: \[ y = 20 \] Therefore, \( y \) is 20, meaning Lee needs to sell 20 cars each month to earn $[/tex]4,000 per month.

So, the correct answer is:
(C) 20