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?

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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?

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Answer 1 · 2017-09-07T15:41:32

See a solution process below:

Explanation:

We can use this equation to find the salesperson's total earnings:

$t = b + (c * (s - m))$

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 $5/100$ 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 - $500))$

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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

Explanation:

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