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:

Answer 2

Answer and step-by-step explanation:

Sylvia's expression is h+0.05h.

The variable h represents the cost of the hat.

0.05 represents the 5% sales tax; 5% = 5/100 = 0.05.

0.05h represents the amount of tax paid on the hat. To find a percent of a number, we multiply the decimal form of the percent by the original amount.

The total cost is given by h+0.05h.

Jin's expression is 1.05h.

The variable h represents the cost of the hat.

1.05 represents 100% of the cost of the hat plus the additional 5% tax; 100+5 = 105%; 105% = 105/100 = 1.05.

Together the total cost is given by 1.05h.