Answered

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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).I’ve already solved problem (a) although I’m not sure if it’s correct but I need help with problem (b)The list price of the shirt is $30 and the sale price is $18. What is the discount rate?

The Sale Price S In Dollars Of An Item Is Given By The Formula SLrL Where L Is The List Price In Dollars And R Is The Discount Rate In Decimal FormIve Already S class=

Sagot :

Since the equation of the sale price S is

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

a)

To solve for r add rL to both sides

[tex]\begin{gathered} S+rL=L-rL+rL \\ S+rL=L \end{gathered}[/tex]

Subtract S from both sides

[tex]\begin{gathered} S-S+rL=L-S \\ rL=L-S \end{gathered}[/tex]

Divide both sides by L

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

b)

Since the list price of the shirt is $30, then

L = 30

Since the sale price is $18, then

S = 18

Substitute them in the equation of r to find it

[tex]\begin{gathered} r=\frac{30-18}{30} \\ \\ r=\frac{12}{30} \\ \\ r=\frac{2}{5} \\ \\ r=0.4 \end{gathered}[/tex]

The discount rate is 0.4

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