Respuesta :
Question is Incomplete complete question is given below;
The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars, of the item.
[tex]Expression\ A: 0.2p \\\\Expression\ B: 0.8p\\\\Expression\ C:1 - 0.2p\\ \\Expression\ D: p - 0.2p \\\\Expression\ E: p - 0.8p \\[/tex]
Which two expressions each represent the sale price of the item?
Answer:
Expression B: [tex]0.8p[/tex]
Expression D: [tex]p - 0.2p[/tex]
Step-by-step explanation:
Given:
regular price of the item = p dollars
item is on discount of = 20%
We need to find the expression represent the sale price of the item.
Solution:
First we will find the discounted price.
Discounted price is equal to percent discount multiplied by regular price and then divided by 100.
framing in equation form we get;
Discounted price = [tex]\frac{20}{100}\times p =0.2p[/tex]
Now we can say that;
Sale price is equal to regular price minus discounted price .
framing in equation form we get;
Sale Price = [tex]p-0.2p[/tex]
This is one of expression represent the sale price of the item.
On solving above expression we get;
Sale Price = [tex]p(1-0.2)[/tex]
Sale Price = [tex]0.8p[/tex]
This is Another expression represent the sale price of the item.