Question

Jessica purchased a DVD that was on sale for 12% off. The sales tax in her county is 3%. Let y represent the original price of the DVD. Write an expression that can be used to determine the final cost of the DVD.

Answer 1

we can express the sale price as (100%-12%)*the original price, or in decimal form:

(1-0.12)y

to consider the sales tax, we can write this as

(100%+3%)*the price of the DVD after the sale, or in other words (1+0.03)*the price of the DVD after the sale

can you try putting all this together to write the final equation for the DVD price, after both sales tax and the discount have been applied?

Answer 2

i will try

Answer 3

im just a little lost

Answer 4

well we already have "(1-0.12)y" as the price after the sales has been applied, yes?

we also know that (1+0.03)*the price of the DVD after the sale

gives sales tax

so plugging (1-0.12)y as the post-sale price gives us

final price = (1+0.03)(1-0.12)y as a possible equation for the final price, and thus a possible solution to the problem

Answer 5

ohhhhh