SOLUTION: The national cost C in billions of dollars for dental services can be modeled by C=2.85n +30.52 Find and interpret the c-intercept, find and interpret the n intercept graph the

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Question 146073: The national cost C in billions of dollars for dental services can be modeled by C=2.85n +30.52
Find and interpret the c-intercept, find and interpret the n intercept graph the line for n ranging from 0-20 and if trend continues what year will the cost of dental services reach 100 billion?
Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
First, write it as a proper function:
C(n)=2.85n+30.52
Now, the c-intercept will be where n is 0.
C(0)=30.52. Its interpretation is that when there is a complete absence of "n," the cost is 30.52.
Now, for the n-intercept, this is where C is 0.
0=2.85n+30.52
-30.52=2.85n
-10.7087719=n. Its interpretation is that when the cost is 0, "n" must be -10.7087719.

Graph it from n existing within [0,20]:
graph%28+300%2C+200%2C+-2%2C+20%2C+-25%2C+750%2C+2.85x%2B30.52+%29