Nick earns a monthly base pay plus commission working as a car salesman. The expression 1,600 + 1,200x models the amount he earns each month. Which THREE statements are correct?

Question

Responses
A 1,200 represents Nick's base pay.1,200 represents Nick's base pay.
B 1,600 represents Nick's base pay.1,600 represents Nick's base pay.
C x represents the number of cars Nick sold.x represents the number of cars Nick sold.
D 1,200 represents the commission for each car.1,200 represents the commission for each car.
E 1,600 represents the commission for each car.

Answer 1

To analyze the expression \(1,600 + 1,200x\) that models Nick's earnings as a car salesman:

• The term \(1,600\) generally represents a fixed amount, which is usually the base pay.
• The term \(1,200x\) accounts for the variable earnings, which depend on the number of cars sold, where \(x\) represents the number of cars sold, and \(1,200\) is the commission earned for each car sold.

Based on this understanding, the correct statements are:

B: \(1,600\) represents Nick's base pay.
C: \(x\) represents the number of cars Nick sold.
D: \(1,200\) represents the commission for each car.

So the three correct statements are B, C, and D.