## Real World Applications – Algebra I

### Topic

Representing the Sales of Doritos Locos Tacos as Horizontal and Vertical Line Graphs

### Student Exploration

In June 2012, Taco Bell’s Doritos Locos Tacos sold more than 100 million within the first ten weeks that it was sold. It was said that this product is the fastest and most popular product sold in the fast food industry!

To help better understand the relationship of horizontal graphs, we can represent the relationship between the cost of the product to the consumer and the number sold. Let’s take a look at the graph below.

As you can see, this is a horizontal line graph that compares the quantities of the number of tacos sold and its price to the consumer. This graph shows that no matter how many tacos are sold during the given time period, the cost will always remain at $1.79. If 1 taco is sold at a particular location, the cost of the taco is $1.79. If 9 tacos are sold at this same location, the cost is still $1.79 each. This graph could be interpreted as the price of the taco depended on how many were sold. Would this relationship really happen? Could the price of a product depend on how many are sold? If so, could the relationship be a horizontal linear one? Would the price of a product depend on the amount sold, knowing that no matter how many products are sold, the price would always stay the same? If you feel this is possible, how would this help or hurt a company?

We can also represent the popular taco as a vertical linear graph. One of the biggest perks about fast food restaurants is that the price usually stays the same. The graph below shows a similar relationship between the number of tacos that have been sold in the 10 week period and the cost of the taco. Notice that the cost is on the independent (or \begin{align*}x\end{align*}) axis and the number of Doritos Locos tacos sold is on the dependent axis (or \begin{align*}y-\end{align*}axis).

This vertical graph means that no matter how many total tacos were sold within the first ten weeks that it was out, the cost always stayed the same. This graph could also possibly imply that the amount sold depended on the cheap cost of the taco. Or its popularity.

### Extension Investigation

Try obtaining information about any other products from a fast food restaurant and see if you can create similar graphs to represent horizontal or vertical line graphs. You will need to note the importance of the independent and dependent variables and axes labeled correctly.

### Resources Cited

http://newsfeed.time.com/2012/06/05/taco-bells-doritos-locos-tacos-are-an-insanely-huge-hit/