Solve application problems using single variable linear inequalities.

Question

A local salesman receives a base salary of $950 monthly. He also receives a commission of 6% on all sales over $1700. How much would he have to sell in a month if he needed to have a monthly income of $1700?

Round answer to the nearest penny.

Answer 1

Hi Alex,

The salesman salary = base salary + commission

base salary = 950

commission = 0.06*(sales-1700) <----- he gets 6% of sales above 1700.

so the salesman salary = 950 + 0.06*(sales-1700)

If the salesman wants a salary of 1700, then

1700 = 950 + 0.06*(sales-1700)

Now solve the above equation to find 'sales' which is the amount he needs to sell to get a salary of 1700.