Steven works at a large home appliance store. He earns a base salary of $20,000 plus commission which can be modeled by the equation y = 0.1x + 20,000. What is the meaning of the y-intercept in the equation?

Responses
A Steven's base pay
B Steven's total sales
C Stevens commission pay
D highest pay Steven can earn

1 answer

The y-intercept in the equation \( y = 0.1x + 20,000 \) represents the value of \( y \) when \( x = 0 \). In the context of this situation, when \( x = 0 \) (meaning Steven has made no sales), the equation simplifies to:

\[ y = 0.1(0) + 20,000 = 20,000 \]

This means when Steven makes no sales, his total pay (y) is simply his base salary of $20,000. Therefore, the correct response is:

A. Steven's base pay