Question

Student: Teacher: 1 Cammen sells cars. She earns a base salary of $40.000 plus a commission of $500 for every car she sels Write a linear equatlon that represents the total amount of income Carmen earns (y) if she sells (x) cars. How many cars would Carmen need to sell to earn a $60.000 income?

Answer 1

Since Cammen earns $500 for every car she sells, if she sells a total of x cars, the will earn a commission of 500x.

Then, adding the commission to the base salary, her salary (y) will be:

a)

`y=40000+500x`

b)

In order to earn 60,000, the number of cars she needs to sell is:

`\begin{gathered} 60000=40000+500x \\ 500x=60000-40000 \\ 500x=20000 \\ x=(20000)/(500) \\ x=40 \end{gathered}`

So Cammem needs to sell a total of 40 cars in order to earn $60,000.