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Heart Disease, Cancer and AIDS : Plotting Graphs and Defining Functions

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I have found the number of deaths in the United States due to each medical condition in each of the following years.

1985 1990 1995 2002

Heart Disease 390,000 720,000 850,000 960,000

Cancer 200,00 505,000 547,000 555,000

AIDS 2,500 7,500 12,500 17,500

How do I plot the data on a graph in a rectangular coordinate system if I do not have excel to determine from the two points. x is my years and y is my deaths to predict the number of deaths in 2005 by using a smooth line to connect my data points for each disease graph and to also find the y intercept? Can you show me? HELP!!

Can they be classified as functions? If so could you please explain?

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Solution Summary

Graphs relating to Heart Disease, Cancer and AIDS and functions are defined. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

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Comparing Relations and Functions; AIDS, Heart Disease, Trends and Forecasting

1. In the real world, what might be a situation where it is preferable for the data to form a relation but not a function?
2. There is a formula that converts temperature in degrees Celsius to temperature in degrees Fahrenheit. You are given the following data points:
Fahrenheit Celsius
Freezing point of water 32 0
Boiling point of water 212 100
3.
1. Find the linear equation that expresses temperature in degrees Fahrenheit as a function of temperature in degrees Celsius.
2. Find the linear equation that expresses temperature in degrees Celsius as a function of temperature in degrees Fahrenheit.
3. How do the graphs of these two functions differ?
Do not just list the functions. You must show all of the steps you used to derive the functions.
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You have been invited to present statistical information at a conference. To prepare, you must perform the following tasks:
1. The following data was retrieved from www.cdc.gov. It represents the number of deaths in the United States due to heart Disease and cancer in each of the years; 1985, 1990, 1995, and 2002.
Year
Disease 1985 1990 1995 2002
Heart Disease 771169 720058 737563 696,947
Cancer 461563 505322 538445 557,271
2.
a. Plot this data for each disease as points in a rectangular coordinate system.
b. Using a smooth line, connect your data points for each disease.
c. On a separate graph, plot only the years 1985 and 2002 and connect the points with a straight line.
d. Calculate the slope of each line.
e. Write the equation of each line in the slope-intercept form.
f. Using the equations of each line, make a reasonable prediction as to the number of deaths we might expect in 2005 due to each of these medical conditions.

3. Please include a response to this two part follow-up question with your submission.
a. Can the graphs that you constructed be classified as functions? Explain.
b. Why is it reasonable that negative numbers are excluded from both the domain and the range of each of the disease graphs? What would the real-world implications be if these numbers were actually part of the domain and/or range?

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