# Equations that Describe Patterns

## Describe numerical sequences by finding a rule.

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When the Price Isn't Right

Credit: Rob DiCaterino
Source: http://www.flickr.com/photos/goodrob13/3454140781/

You've been waiting for months. The latest version of your favorite video game comes out today. You've mowed lawns, done extra chores, and saved up gifts from your grandparents. The new game costs $49.99. You have exactly$50.00 saved. So you're good to go, right? Unless you're lucky enough to live in a state without sales tax, you're going to have to wait for that new game.

#### Figuring Out the Tax

State and local governments all charge different amounts of sales tax when you make purchases. To figure out how much your video game really costs, you'll need to know the tax rate for your area. You can write an equation to help you figure out your total cost. If the price of the game is 49.99, you'll have to pay 49.99+(49.99taxrate)\begin{align*}49.99+\left ( 49.99* \mathrm{tax}\:\mathrm{rate}\right )\end{align*}. So, if you live in a state where sales tax is 10%, you'll need to pay the store54.99 for the game. States usually round sales tax up to the nearest penny.

Credit: Eddie Welker
Source: http://www.flickr.com/photos/ed_welker/4076939458/

States use revenue from sales tax to fund programs such as schools and social services. Most states do not tax groceries, since food is considered a basic necessity; however, restaurant and fast food meals are usually taxed. Items like cigarettes and alcoholic beverages are taxed at higher-than-normal rates. States hope these higher taxes will keep people from smoking and drinking. Some states have no sales tax and use this fact to attract shoppers from other states.

#### Explore More

With the links below, learn about statewide sales tax holidays, potential taxes on online shopping, and the uncertain future of Minnesota's lack of sales tax on clothing.

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