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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?

Respuesta :

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)

[tex]y=40000+500x[/tex]

b)

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

[tex]\begin{gathered} 60000=40000+500x \\ 500x=60000-40000 \\ 500x=20000 \\ x=\frac{20000}{500} \\ x=40 \end{gathered}[/tex]

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

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