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: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) Letk-------> the total sales for the year y-----> the total income for the yearwe know thatThe 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]