You are visiting one of the following states: Tennessee, Vermont, Wisconsin, or Wyoming. Each has a state sales tax on most items that are for sale in stores.

While you are visiting, you decide to buy a board game to play with your hosts. The cost of the game is between $10 and $20, and it is not a whole dollar amount. What is the total cost of the board game, including sales tax? Show your work.

To determine the total cost of the board game including sales tax, we need to consider the sales tax rate in each state.

Tennessee has a statewide sales tax rate of 7%.
Vermont has a statewide sales tax rate of 6%.
Wisconsin has a statewide sales tax rate of 5%.
Wyoming does not have a statewide sales tax, so the sales tax rate is 0%.

Let's calculate the total cost of the board game, including sales tax, for each state:

1. Tennessee:
If the cost of the board game is x dollars, the sales tax would be 7% of x. This means the sales tax is 0.07x dollars.
The total cost of the board game including sales tax in Tennessee would be: x + 0.07x = 1.07x dollars.

2. Vermont:
If the cost of the board game is x dollars, the sales tax would be 6% of x. This means the sales tax is 0.06x dollars.
The total cost of the board game including sales tax in Vermont would be: x + 0.06x = 1.06x dollars.

3. Wisconsin:
If the cost of the board game is x dollars, the sales tax would be 5% of x. This means the sales tax is 0.05x dollars.
The total cost of the board game including sales tax in Wisconsin would be: x + 0.05x = 1.05x dollars.

4. Wyoming:
Wyoming does not have a state sales tax, so the total cost of the board game would be the same as the cost of the game itself, which is x dollars.

Therefore, the total cost of the board game, including sales tax, would be:
- 1.07x dollars in Tennessee.
- 1.06x dollars in Vermont.
- 1.05x dollars in Wisconsin.
- x dollars in Wyoming.