SOLUTION: I have seen this problem on here but I am not understanding why they use zero for "n" also I do not understand how to graph this.
Dental Services: The national cost C in billi
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-> SOLUTION: I have seen this problem on here but I am not understanding why they use zero for "n" also I do not understand how to graph this.
Dental Services: The national cost C in billi
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Question 187584This question is from textbook Elementary and Intermediate Algebra
: I have seen this problem on here but I am not understanding why they use zero for "n" also I do not understand how to graph this.
Dental Services: The national cost C in billions of dollars for dental services can be modeled by the linear equation C = 2.85n + 30.52, when n is the number of years since 1990.
(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? This question is from textbook Elementary and Intermediate Algebra
You can put this solution on YOUR website! I have seen this problem on here but I am not understanding why they use zero for "n" also I do not understand how to graph this.
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n=0 represents the number of years after 1990 when the year IS 1990.
So n=0 IS the year 1990
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Dental Services: The national cost C in billions of dollars for dental services can be modeled by the linear equation C = 2.85n + 30.52, when n is the number of years since 1990.
(a) Find and interpret the C-intercept for the line.
Let n=0, then C(0) = 2.85*0 + 30.52 = 30.52
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(b) Find and interpret the n-intercept for the line.
Let C = 0 and solve for "n":
2.85n + 30.52 = 0
2.85n = -30.52
n = -10.708
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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 = 24.3789
Year: 1990+24.3789 = 2014.3789
Rounding up the year is 2015.
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Cheers,
Stan H.
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