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
Algebra.Com
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
Answer by stanbon(75887) (Show Source): 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.
-----------------------------------------
n=0 represents the number of years after 1990 when the year IS 1990.
So n=0 IS the year 1990
-----------------------------------------
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
--------------------------------------------------
(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
==================================
(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?
2.85n + 30.52 = 100
2.85n = 69.48
n = 24.3789
Year: 1990+24.3789 = 2014.3789
Rounding up the year is 2015.
===============================
Cheers,
Stan H.
RELATED QUESTIONS
Greetings,
I am an older adult who has always struggled with basic algebra. I am not... (answered by stanbon)
I am not understanding the long division I have seen examples but not understanding how... (answered by josgarithmetic)
Hello! I need help understanding why (x+y)2 is not equal to x2+y2? I am taking an online... (answered by richard1234,MathLover1)
I am having extreme difficulty with this section of my homework. I have to find a... (answered by edjones)
I am working on my math packet for school. I came across a section in it, in which i... (answered by Theo)
I am trying to figure this out and I am struggling so someone please help me. Why is... (answered by Edwin McCravy)
Have not had algebra since age 15, now 45. I am taking a human biology course, and it... (answered by ptaylor)
I do not completely understand how to make formal proofs. Are there any ways I can get... (answered by richard1234)
The sales representative here tells you they also have two floor plans available, but... (answered by Theo)