SOLUTION: the national cost C in billions of dollars for dental service can be modeled by the linear equation C=2.85n+30.52 where n is the number of years since 1990 A)Find and interpr

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Question 44559: the national cost C in billions of dollars for
dental service can be modeled by the linear equation
C=2.85n+30.52
where n is the number of years since 1990
A)Find and interpret the C-intercept for the line
B)Find and interpret teh n-intercept for the line
C)Graph teh line for n ranging from 0 through 20
D If this trenad continues, tehn in what year will the
cost of dental services reach 100 billion?

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
A) Find and interpret the C-intercept for the line
C = 2.85n + 30.52
C = 2.85(0) + 30.52
C = 30.52
At zero years, the C-intercept is at $30.52 billion.
B)Find and interpret the n-intercept for the line
C = 2.85n + 30.52
0 = 2.85n + 30.52
-30.52 = 2.85n
-3052/285 = n
-10 202/285 = n
Before 1990, the cost was zero.
C)Graph the line for n ranging from 0 through 20
+graph%28+800%2C+600%2C+-2%2C+20%2C+-5%2C+90%2C+2.85x+%2B+30.52+%29+
D If this trend continues, then in what year will the
cost of dental services reach 100 billion?
C = 2.85n + 30.52
100 = 2.85n + 30.52
69.48 = 2.85n
About 24 years later:
1990 + 24
Year: 2014