Question

Sabrina sells new and used motorcycles. She makes an extra $75 for every motorcycle she sells and she also gets paid $635 per week. A) Develop an equation for the way Sabrina is paid. B) Last week, Sabrina sold 14 motorcycles. Use the equation you've developed to find out how much Sam was paid for that week. Show your work. *

Answer 1

Sure, let's break it down.

A) First, we know Sabrina gets an extra $75 for every motorcycle sold and also receives a fixed salary of $635 per week. We can denote the number of motorcycles Sabrina sells in a week as X. Therefore, we can create an equation which gives us the total amount Sabrina earns per week. The equation would be: Pay = $635 + $75 * X.

In this equation:
- $635 is the fixed weekly salary.
- $75 is the extra amount Sabrina gets for every motorcycle sold.
- X represents the number of motorcycles sold.

So, Sabrina's pay depends on the number of motorcycles she sells - she gets a flat $635 every week plus an additional $75 for each cycle sold.

B) Now, since we know Sabrina sold 14 motorcycles last week, we substitute X with 14 in our previous equation.

Pay = $635 + $75 * 14

Calculating the right-side expression, it totals to $1685.

Therefore, given Sabrina sold 14 motorcycles last week, she was paid $1685. This includes her weekly salary as well as the extra money she earned from selling the motorcycles.