Question

The sale price S (in dollars) of an item is given by the formula S=L-rL, where L is the list price (in dollars) and r is the discount rate (in decimal form).Solve the equation for r.

Answer 1

`r=1-((S)/(L))`

Step-by-step explanation

Given;

`S=L-rL`

To make r the subject of formula, flip the equation

`rL=L-S`

Divide both sides by L;

`\begin{gathered} (rL)/(L)=(L-S)/(L) \\ r=(L-S)/(L) \\ =(L)/(L)-(S)/(L) \\ =1-(S)/(L) \end{gathered}`