Sol+Choi's+Second+Algebra+Project

Pizza Business Sales Report Sol Choi Block A Advanced Math 8 -DATA-





-EQUATION-

Total Sales = Number of Pizzas * 9

-Model-

Linear Model – It doesn’t fit, because linear model have to be a straight line but my graph increase slowly at first 5 years and it became faster at last 5 years.

Quadratic Model – It doesn’t fit. Quadratic model have to be ‘U’ shaped curved line. My graph has curved line but it’s not U shaped, because time never goes back.

Exponential Model – Exponential model fits with my data best, because it is not straight line. It is curved line, but not a ‘U’ shaped line too.

-Prediction-

The total sales would be in the tenth year is $1,280,732. Total Sales in per year is increased by about 1.7 times than past year. This is the equation I used.

For ninth year = Total Sales in past year * 1.7 = $443,160 * 1.7 = $753,372

For tenth year = Total Sales in past year * 1.7 = $753,372 * 1.7 = $1,280,732.4 = (Around) $1,280,732

Investigating Another Business

Annual sales for McDonald (2005~2009)



I can’t use the best-fitting model from this scatter plot to predict future sales for this business because this plot doesn’t have any pattern. It doesn’t fit in linear model, quadratic model, and exponential model. Therefore, I can’t predict this scatter plot.

Present Results

I opened a pizza business eight years ago. I want to know growth of the business since I opened. Therefore, I collected data. Table and graph of my business data said, annual sales of my business were keep increasing but it doesn’t increase evenly. Therefore, my graph looks like exponential model.

I made a prediction on what the total sales would be in the tenth year. First, I found a pattern of increasing between past and future total sales. It was keep increasing by about 1.7 times, so I did total sale for past year times 1.7 to predict next year’s total sale. Therefore, I predicted $1,280,732 on tenth year.

In investigating another business, I found the annual sales of McDonald and try to predict future sales for it. However, I couldn’t predict it, because to predict data, it has to have pattern, but in this case, it wasn’t have any pattern.

During this project, I learned how to predict the data, but I can’t predict data without patterns. I think scatter plot is the best model to use because I can see the pattern easily and amount of increase quickly.

Extension

Annual sales of KFC





I can’t make any prediction of this data, because it doesn’t have any pattern.

Compare KFC and McDonald

They both were start from pretty same place. KFC grow up slowly at first 3 years but rapidly increased after 3 years. McDonald increased rapidly on first year but decreased again. Later, it increased again but not as much as KFC. They both can’t make any prediction because they don’t have any patterns but they don’t have any surprised problem, the annual sales of both companies will keep increasing.