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A salesperson receives a base salary of $35,000 and a commission of 10% of the total sales for the year. a.) Write a linear model that shows the salesperson’s total income based on total sales of k dollars. b.) If the salesperson sells $250,000 worth of merchandise, what is her total income for the year, including her base salary?

Respuesta :

calculista

Answer:

Part a) The linear model that shows the salesperson’s total income is equal to

[tex]0.10k+\$35,000[/tex]

Part b) The total income is [tex]\$60,000[/tex]

Step-by-step explanation:

Part a)

Let

k-------> the total sales for the year

y-----> the total income for the year

we know that

The linear equation that represent the situation is

[tex]y=0.10k+\$35,000[/tex]

Part b) we have

[tex]k=\$250,000[/tex]

substitute the value of k in the linear model to find the total income

[tex]y=0.10(\$250,000)+\$35,000[/tex]

[tex]y=\$25,000+\$35,000[/tex]

[tex]y=\$60,000[/tex]

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