1.4+Setting+the+Right+0910

JO**
 * 25/8/09
 * Big idea:** Many real world situations can be modeled and predicted using mathematics.
 * Essential Question:** What relationships make a straight line on a graph?
 * Notes from class** **:**


 * 1.4

A.Graph the (Price, Buyers) data, and draw a straight line that models the trend in the data.



B. Write a linear equation of theform y=ms+b for your graph model**

Y=-75x+475
 * C. What do the patterns of change in the (price, buyers) data and the graph model tell you about the relationship between the price and the number of buyers?**

The relationship is telling that the higher the price, less people would buy it.


 * D. What do the values of m and b in the equation model tell you about the relationship between the price and the number of buyers?**

M is telling the slope of the graph for the number of buyers and the B is telling you the y intercept of the graph.


 * E. Which data pair from the survey data is farthest from your graph model? Why do you think this point is so far from the graph?**

The farthest pair away from each other on my graph model are point 4 to point 6. I think that this point is the farthest away from each other because more people would buy $4 because it is reasonable from there but $6 is expensive for a cap which brings down the costumers alot So the relationship between 4 to 6 is farthest away from each other.
 * F.U

The SGA wrote the equation y=-40x+480 to fit their (price, buyers) data. In this equation, x represents the price, and y represents the number of buyers. 1. What do the numbers -40and 480 in the equation tell you about the relationship between the price and the number of buyers? What do they tell you about the graph of the relationship?**

-40 means evertime the price increase by 1, the amount of people would decrease by 40. and 480 is the y intercept so thats where the graph would start off.

a. Make a table like the one below. In the second column, enter the number of buyeres the equation model y=-40x+480 predicts for each whole number price from $2 to $15**
 * 2. Although the SGA gathered data for only a few prices, they can use their equation model to make a table with information for many more prices.


 * Price || Number of buyer || Income ||
 * $2 || 400 || $800 ||
 * 3 || 360 || 1080 ||
 * 4 || 320 || 1280 ||
 * 5 || 280 || 1400 ||
 * 6 || 240 || 1440 ||
 * 7 || 200 || 1400 ||
 * 8 || 160 || 1280 ||
 * 9 || 120 || 1080 ||
 * 10 || 80 || 800 ||
 * 11 || 40 || 440 ||
 * 12 || 0 || 0 ||
 * 13 || -40 || -520 ||
 * 14 || -80 || -1120 ||
 * 15 || -120 || -1800 ||


 * b. Which data pair from the survey is most different from the prediction made by the equation model? Are any predictions the same as the survey data?

c. In the third column, enter the income the SGA would earn from each combination of price and buyers.

3. How much should the SGA charge for each cap if they want the maximum possible income? Explain your answer.**

They should charge $6 because on the table it shows that $6 has the biggest income.

**
 * 4. Make a graph of the (price, income) data. Describe the shape of your graph. How is your answer to question 3 shown on your graph?

the shape of the graph is like a hook. On question 3 I said taht $6 would be best because it has the highest income. And on the graph, it shows $6 as the highest point.