SOLUTION: The national cost C in billions of dollars for dental services can be modeled by the linear equation C = 2.85n + 30.52, where n is the number of years since 1990 (Health Care

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Question 166259: The national cost C in billions of dollars for dental services can be modeled by the linear equation
C = 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.
b) Find and interpret the n-intercept for the line.
c) Graph the line for n ranging from 0 through 20.
If I am not mistaken, are the steps solving for C, and then solving for N ? I am still a bit unclear on how to complete the problem

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 = 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; C(0) = 30.52 (cost of dental service in 1990)
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b) Find and interpret the n-intercept for the line.
Let C=0: then n = -30.52/2.85 = -10.78..
Theoretically the dental cost was zero 11 years before 1990
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c) Graph the line for n ranging from 0 through 20.

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Cheers,
Stan H.

If I am not mistaken, are the steps solving for C, and then solving for N ? I am still a bit unclear on how to complete the problem

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