Question

Dan receives $375 per week for selling new and used cars in addition he receives 5% of the profit on any sales that he generates. write a linear equation that represents dans weekly salary

Answer 1

The linear equation that represents Dan's weekly salary is $S=375+\frac{x}{20}$

Linear equation is an equation between two variables that gives a straight line when plotted on a graph

Given,

The amount he receives per week for selling the car= $375

The commission he receives on any sales that he generates= 5%

Consider the price of the car as x

Then,

Commission he receives on any sales the he generates= $x(\frac{5}{100} )$

$=x(\frac{1}{20} )\\=\frac{x}{20}$

The linear equation that represents Dan's weekly salary= The amount he receives per week for selling the car + Commission he receives on any sales that he generates

$=375+\frac{x}{20}$

Hence, the linear equation that represents Dan's weekly salary is $S=375+\frac{x}{20}$

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