You can
put this solution on YOUR website!Disease 1985 1990 1995 2002
Heart Disease 771169 720058 737563 696,947
Cancer 461563 505322 538445 557,271
1.
a. Plot this data for each disease as points in a rectangular coordinate system.
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On an xy-coordinate system plot the four points you are given for heart
disease deaths and four points for cancer deaths:
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Let 1985 be 0, 1990 be 5, 1995 be 10, 2002 be 17
Heart Disease Points: (0,771169),(5,720058),(10,737563),(17,696,947)
Cancer DiseasePoints: (0,461563),(5,505322),(10,538445),(17,557,271)
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b. Using a smooth line, connect your data points for each disease.
You should get two line segments: one for heart disease and one for cancer.
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c. On a separate graph, plot only the years 1985 and 2002 and connect the points with a straight line.
Do that
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d. Calculate the slope of each line.
Heart Disease Points: (0,771169),(5,720058),(10,737563),(17,696,947)
Cancer DiseasePoints: (0,461563),(5,505322),(10,538445),(17,557,271)
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To get the slope look at the 1st and 4th points. The slope of the change
in the y-values divided by the change in the x values, as follows:
Heart slope: [696947-771169)/[17-0] = -4366
Cancer slope: [557271-461563]/[17-0] = 95708
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e. Write the equation of each line in the slope-intercept form.
We have the slope but need the y-intercept. The y-intercept is the
y-value associated with x=0,
For the heart data the y-intercept is 771169; for the cancer data the
y-intercept is 461563
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Having the slope and the y-intercept for each set of data we can write
the equation for each.
Heart equation: y = -4366x + 771169
Cancer equation: y = 95708x + 461563
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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.
Since 2005 is 20 years after 1985, let x = 20 and solve for y in each equation.
Heart equation: y = -4366x + 771169
y = -4366*20+771169
y = 683,849 deaths from heart disease in the year 2005
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Cancer equation: y = 95708x + 461563
y = 95708*20 + 461563
y = 2,375,723 deaths from cance in the year 2005
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2. 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.
Yes because for each year there is one number of deaths from each cause.
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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?
Negative Domain would imply years before 1985
Negative Range would imply negative number of deaths which is meaningless.
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Cheers,
Stan H.
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