Question: Interpreting the parameters of a linear function that models a real-world… Omar is a software…

Interpreting the parameters of a linear function that models a real-world…

Omar is a software salesman. Let y represent his total pay (in dollars). Let x represent the number of copies of English is Fun he sells. Suppose that x and y are related by the equation y = 2400 + 120x.

Answer the questions below.

Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number.

What is the change in Omar’s total pay for each copy of English is Fun he sells?

What is Omar’s total pay if he doesn’t sell any copies of English is Fun?

Solution

The equation given is \( y = 2400 + 120x \), where \( y \) represents Omar’s total pay, and \( x \) represents the number of copies of English is Fun he sells. 1. What is the change in Omar’s total pay for each copy of English is Fun he sells? The coefficient of \( x \) in the equation is 120. This means the total pay increases by $120 for each additional copy sold. So, the change in total pay per copy is $120. 2. What is Omar’s total pay if he doesn’t sell any copies of English is Fun? If Omar sells 0 copies, then \( x = 0 \). Substitute \( x = 0 \) into the equation: \[ y = 2400 + 120(0) \] \[ y = 2400 \] Omar’s total pay, if he sells no copies, is $2400.