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KonstantinChe
3 months ago
11

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 dis

count rate (in decimal form).
R=1- S/L

The list price of the shirt is $30. What is the discount rate?
Mathematics
2 answers:
tester [12.3K]3 months ago
8 0

Answer:

The item's discount rate is r=1-\frac{S}{30}.

Detailed explanation:

The formula provided is S = L - rL.

Here, S stands for the sale price,

r is the discount rate,

and L is the list price.

By rearranging, we get:

S - L = -rL

L - S = rL

which can be written as

r=\frac{1}{L}(L-S)

r=1-\frac{S}{L}

To find the discount rate for a shirt listed at $30, substitute L = 30 into the equation:

r=1-\frac{S}{30}

The resulting discount rate is r=1-\frac{S}{30}.

babunello [11.8K]3 months ago
7 0

The sale price S (in dollars) of an item is calculated using the formula

S = L - rL, where L represents the list price (dollars) and r denotes the discount rate.

Rearranged, this becomes:

rL = L - S

and thus

r = \frac{L-S}{L}

which simplifies to

r = 1-\frac{S}{L}

Given the shirt's list price is $30, we will compute the discount rate accordingly.

Hence, the discount rate r equals 1-\frac{S}{30}.

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