The number of reported cases of Lyme disease in the United States can be modeled by the equation y = 1203 x + 10 , 006 . In this equation, x represents the number of years since 1993, and y represents the number of cases of Lyme disease. a. What is the slope of this line and what does it mean in the context of this problem? b. What is the y -intercept, and what does it mean in the context of this problem? c. Use the model to estimate the number of cases of Lyme disease in the year 2010. d. During what year would the predicted number of cases be 36,472?
The number of reported cases of Lyme disease in the United States can be modeled by the equation y = 1203 x + 10 , 006 . In this equation, x represents the number of years since 1993, and y represents the number of cases of Lyme disease. a. What is the slope of this line and what does it mean in the context of this problem? b. What is the y -intercept, and what does it mean in the context of this problem? c. Use the model to estimate the number of cases of Lyme disease in the year 2010. d. During what year would the predicted number of cases be 36,472?
Solution Summary: The author calculates the slope of the equation y=1203x+10006, which represents the rate of increase in number of cases of Lyme disease per year.
The number of reported cases of Lyme disease in the United States can be modeled by the equation
y
=
1203
x
+
10
,
006
. In this equation, x represents the number of years since 1993, and y represents the number of cases of Lyme disease.
a. What is the slope of this line and what does it mean in the context of this problem?
b. What is the y-intercept, and what does it mean in the context of this problem?
c. Use the model to estimate the number of cases of Lyme disease in the year 2010.
d. During what year would the predicted number of cases be 36,472?
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