Question

Sylvia is going to pick out a souvenir hat while she is on vacation. She knows the price of the hat will increase by 5% when she pays sales tax. She writes the expression h + 0.05h to find the total amount she will pay for the hat if it costs h dollars. Jin correctly writes another expression, 1.05h, that will also find the the total amount Sylvia will pay for the hat if it costs h dollars. Use the drop-down menus to explain what each part of Sylvia's and Jin's expressions mean.

Answer 1

Explanation:

Sylvia's expression

H: Price of hat

0.05: percent sales tax

0.05 h: amount of sales tax Sylvia will pay

h+0.5 h: total amount Sylvia will pay

Jin's Expression

1.05: One whole plus percent sales tax

H: price of hat

1.05 h: total amount Sylvia will pay

Answer 2

We will evaluate both expressions step by step.

Sylvia's espression:
h + 0.05h
h: Original hat price.
0.05h: Increase of 5% due to sales tax.

Jin's expressions:
1.05h
h: Original hat price.
1.05: Factor for which you must multiply the original price to add 5% due to sales tax.