A salesperson is paid $110 per week plus 15% commission on her weekly sales of x dollars. How do you find a linear function that represents her total weekly pay w in terms of x?
The weekly pay consists of two terms: the $110 and the 15% commission. These two terms are added together to give the total weekly pay (
The weekly sales are given by
First, convert 15% to a fraction, then decimal:
Then, multiply it by
Finally, add the two terms together to get the linear function:
As an example, if the person has weekly sales of $100, the weekly pay will be: