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

Question

2 months ago

11

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

The list price of the shirt is $30. What is the discount rate?

2 answers:

tester [12.3K] · Answer 1 · 2026-02-17T00:15:24+03:00

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] · Answer 2 · 2026-02-17T00:15:13+03:00

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 $1-\frac{S}{30}$ .