Question

The expression 0.75(1.06p) represents the total amount Jaxon paid for a jacket

originally priced p dollars. Which changes to the original price could have resulted in
this expression?

Answer 1

0.75 could be a 25% discount. 1.06 could be a sales tax.

Explanation:

If p is the original price, then 1.06p could be the amount after a 6% tax is include. Then multiplying by 0.75 could indicate a 25% discount (if you don't pay 25% = 0.25, then you do pay 75% = 0.75).

In case you're wondering about discounting first then charging tax, the result is the same because the multiplication can be done in either order.

0.75(1.06p) = 1.06(0.75p)