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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.

Sagot :

ANSWER

[tex]r=1-(\frac{S}{L})[/tex]

EXPLANATION

Given;

[tex]S=L-rL[/tex]

To make r the subject of formula, flip the equation

[tex]rL=L-S[/tex]

Divide both sides by L;

[tex]\begin{gathered} \frac{rL}{L}=\frac{L-S}{L} \\ r=\frac{L-S}{L} \\ =\frac{L}{L}-\frac{S}{L} \\ =1-\frac{S}{L} \end{gathered}[/tex]