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Question 186076: I had submitted this question before but it was never replied to. Can anyone help me with this ... I am not understanding how to complete the assignment. Thanks so much for your time and effort.
The national cost C in billions of dollars for dental services can be modeled by the linear equation
C = 2.85 + 30.52,
where n is the number of years since 1990 (Health Care Financing Administration, www. hcfa.gov).
a.)Find and interpret the C-intercept for the line
b.)Find and interpret the n-intercept for the line
c.)Graph the line for n ranging from 0 through 20
d.)If this trend continues, then in what year will the cost of dental services reach 100 billion?
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The national cost C in billions of dollars for dental services can be modeled by the linear equation
C(n) = 2.85n + 30.52,
where n is the number of years since 1990 (Health Care Financing Administration, www. hcfa.gov).
a.)Find and interpret the C-intercept for the line
Let n = 0 and solve for C
C(0) = 2.85*0 + 30.52
C(0) = 30.52
Interpret: In 1990 the cost for dental services, in billions of dollars,
was 30.52 billion.
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C(n) = 2.85n + 30.52
b.)Find and interpret the n-intercept for the line
Let C(n) = 0 and solve for "n":
2.85n + 30.52 = 0
2.85n = -30.52
n = 30.52/2.85 = -10.71
Interpret: In the year 1990-10.71 or 1979 the cost for dental services
was zero.
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c.)Graph the line for n ranging from 0 through 20
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d.)If this trend continues, then in what year will the cost of dental services reach 100 billion?
2.85n + 30.52 = 100
2.85n = 69.48
n = 24.38
Year = 1990+24.38 = 2014+ 0.14 = 2015
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Cheers,
Stan H.
Answer by Alan3354(69443)  (Show Source):
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