Question 182660
A) Find and interpret the C-intercept for the line
C = 2.85n + 30.52
:
C = 2.85(0) + 30.52
C = 30.52......(0,30.52)
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
-30.52/285 = n
-10.70= n   (-10.70,0) remember in an x intercept(n in our case) y is always zero.
n intercept means in 1979 , the cost was zero.
C)Graph the line for n ranging from 0 through 20
{{{ graph( 800, 600, -2, 20, -5, 90, 2.85x + 30.52 ) }}}
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 24.37 years later:
so between 24 and 25 years it will reach 100 billion
Year: 2014-2015