Answer
The linear equation which relates Dan’s weekly salary $S$ and the profit $x$ is:
$S(x)=0.05x+375$
Work Step by Step
The linear cost equation is given by:
Cost= Variable Cost + Fixed Cost
Fixed Cost = $\$375$
Variable Cost = Profit per sale $\times $number of sales he generated.
For each 1 dollar in sales, he earns 5 cents. This means:
So, the variable cost =$\$0.05x$
The linear equation is given by $S(x)=0.05x+375$