# A salesman earns a base salary of $100 per week plus a 5% commission on all sales over 500. Find his total earnings in a week in which he sells r dollars worth of merchandise, with r being greater than 500? ##### 1 Answer Sep 7, 2017 #### Answer: See a solution process below: #### Explanation: We can use this equation to find the salesperson's total earnings: $t = b + \left(c \cdot \left(s - m\right)\right)$Where: $t$is the salesperson's total earning. What we are solving for. $b$is the salesperson's base salary per week:$100 for this problem.

$c$ is the salespersons commission rate: 5% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 5% can be written as $\frac{5}{100}$ or $0.05$.

$s$ is the salespersons weekly sales: $r$ for this problem.

$m$ is the salespersons minimal sales for commission. $500 for this problem Susbtituting gives: t =$100 + (0.05 * (r - \$500))