Question

The expression 0.09x + (x − 30) models the final price of a bicycle with an instant rebate in a state that charges a sales tax. The tax is on the original price.

Which expression represents the amount of tax that is paid on the bicycle?

A. x − 30

B. 0.09x

C. 1.09x

D. 0.09x − 30

Answer 1

b

Answer 2

Hint point is that taxation gets apply first, then follow by the rebate discount. So you read the equation from left to right

Answer 3

x is the original price. We don't know x but it's some positive number

x-30 represents the price after the rebate. So whatever the original price is, it's slashed $30

x-30 is the amount listed on the product, but it says ` The tax is on the original price.` so we apply the tax rate to the value of x

amount of tax = (tax rate)*(original price) = 0.09*x

which is why the answer is B. Essentially the tax rate is 9%

Answer 4

Thank you both.

Answer 5

you're welcome

Answer 6

np :)