Question

Which proportional relationship would you set up to solve this problem? Henry wants to buy a game that costs $15.99. If the store charges 8% sales tax, how much will he have to pay?

Answer 1

To find out how much Henry will have to pay for the game including sales tax, you can set up a proportional relationship based on the cost of the game and the sales tax rate.

1. **Cost of the Game**: $15.99
2. **Sales Tax Rate**: 8%, which can be expressed as a decimal: \(0.08\).

The total cost, including sales tax, can be calculated using the formula:

\[
\text{Total Cost} = \text{Cost of the Game} + \text{Sales Tax}
\]

The sales tax can be calculated as:

\[
\text{Sales Tax} = \text{Cost of the Game} \times \text{Sales Tax Rate}
\]

Putting it all together, we have:

\[
\text{Total Cost} = \text{Cost of the Game} + (\text{Cost of the Game} \times \text{Sales Tax Rate})
\]

Now, plugging in the values, we can express it as:

\[
\text{Total Cost} = 15.99 + (15.99 \times 0.08)
\]

To simplify, combine the terms:

\[
\text{Total Cost} = 15.99 \times (1 + 0.08)
\]
\[
\text{Total Cost} = 15.99 \times 1.08
\]

Now you can calculate the total cost, which would give you the final amount Henry has to pay.

So the proportional relationship can be represented as:

\[
\text{Total Cost} = 15.99 \times (1 + 0.08)
\]

This setup will help you find the total cost including sales tax.