Question

Shana wants to buy a new bicycle that has a retail price of $259.99. She knows that it will be on sale next week for 30% off the retail price. If the tax rate is 7%, find the total amount, to the nearest cent, that she will save by waiting until next week.

Answer 1

To get the discount amount, you multiply the retail price by 0.3 since that's the discount. To get the tax amount, multiply the retail price by 0.07.
f(x) = 259.99 - 0.3x + 0.07x
f(259.99) = 259.99 - 0.3(259.99) + 0.07(259.99)

Answer 2

Can you take it from there?

Answer 3

i dont understand because i am taking a practice regents and it says the correct answer is $83.46. how did they come up with this answer?

Answer 4

It says what she will SAVE.

Answer 5

son how do you get that?

Answer 6

so**

Answer 7

83.46? I don't see how. Hold on for a second.

Answer 8

yes here is the link http://www.nysedregents.org/IntegratedAlgebra/112/ialg12012-rg.pdf its number 39

Answer 9

Alright. I see what happened.

Answer 10

First, apply the 7% tax to the 259.99 and add it to it.

Answer 11

259.99(1.07) = 278.1893
Then, you have to find the discount on the retail price.
259.99 - 259.99(0.3) = 181.997
Then apply the tax to this new price.
181.997(1.07) = 194.73251
Then find the difference to get the amount saved.
278.1893 - 194.73251 = 83.45679 which rounds to $83.46

Answer 12

Get it?

Answer 13

yes i understand it thank you so much for all your help but just one quick question how does the tax become 1.07 from .07?

Answer 14

Basically, by multiplying by 0.07 gives you the tax amount and then you'd add it to the original. However, my multiplying by 1.07, it adds it automatically. :) This is only if you have to add the extra amount.

Answer 15

Less plugging into a calculator.

Answer 16

ohh ok. thank you so much for all your help tonight i appreciate it very much :)

Answer 17

You're welcome :)