Answer :
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.
Since, S = L -rL
rL = L -S
r = [tex] \frac{L-S}{L} [/tex]
r = [tex] 1-\frac{S}{L} [/tex]
Since, the listed price of the shirt is $30, we have to find the discount rate.
Therefore, r = [tex] 1-\frac{S}{30} [/tex] is the discount rate.
Answer:
Discount rate of the item will be [tex]r=1-\frac{S}{30}[/tex].
Step-by-step explanation:
The given formula is S = L - rL
Here S = sale price of an item
r = Discount rate
L = List price of the item
S - L = - rL
L - S = rL
[tex]r=\frac{1}{L}(L-S)[/tex]
[tex]r=1-\frac{S}{L}[/tex]
Now we have to calculate the discount price of the shirt when it's list price is $30.
By replacing L = 30 in the given formula
[tex]r=1-\frac{S}{30}[/tex]
Discount rate of the item will be [tex]r=1-\frac{S}{30}[/tex].