Question

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?

Answer 1

Answer:

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

$0.10k+\ 35,000$

Part b) The total income is $\ 60,000$

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

$y=0.10k+\ 35,000$

Part b) we have

$k=\ 250,000$

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

$y=0.10(\ 250,000)+\ 35,000$

$y=\ 25,000+\ 35,000$

$y=\ 60,000$