SOLUTION: The average annual tuition and fees at all 4-year institutions in the US in 1982 was $10,385 and in 2012 was $ 23,872. Let y be the average tuition and fees in the year x, where x
Algebra.Com
Question 1002936: The average annual tuition and fees at all 4-year institutions in the US in 1982 was $10,385 and in 2012 was $ 23,872. Let y be the average tuition and fees in the year x, where x = 0 represents the year 1982.
a) Write a linear equation, in slope-intercept form, that models the growth in average tuition and fees at all 4-year institutions in the US in terms of the year x.
b) Use this equation to predict the average tuition and fees at 4-year institutions in the US in the year 2030.
c) Explain what the slope of this line means in the context of the problem.
Please show all work.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The average annual tuition and fees at all 4-year institutions in the US in 1982 was $10,385 and in 2012 was $ 23,872. Let y be the average tuition and fees in the year x, where x = 0 represents the year 1982.
a) Write a linear equation, in slope-intercept form, that models the growth in average tuition and fees at all 4-year institutions in the US in terms of the year x.
------
Let 1982 be 0
Then 2012 is 30
---------------------
You have 2 points:: (0,10385) and (30,23872)
----
slope = (23872-10385)/30 = 449.57
intercept = 10385
-----------------------
Equation:
y = 449.57x + 10385
----
b) Use this equation to predict the average tuition and fees at 4-year institutions in the US in the year 2030.
2030 would be 2030-1982 = 48
---
f(48) = 449.47*48 + 10385 = 31964
----------------------
c) Explain what the slope of this line means in the context of the problem.
Please show all work.
Each year the tuition increases $449.57
-----------
Cheers,
Stan H.
-----------
RELATED QUESTIONS
The average annual tuition and fees at all 4 year institutions in the US in 1982 was... (answered by jorel1380)
The average annual tuition and fees at all 4-year institutions in the US in 2002 was... (answered by stanbon)
The average annual tuition and fees at all 4- year institutions in the US in 2002 was... (answered by stanbon)
The table lists the average annual cost of tuition and fees at private 4-year colleges... (answered by greenestamps)
Percentages
5. From 1982 to 2012, the cumulative U.S. inflation rate was 95%. In... (answered by jorel555)
The table lists the average annual cost of tuition and fees at private 4-year colleges... (answered by solver91311)
The table lists the average annual cost of tuition and fees at private 4-year colleges... (answered by greenestamps)
A broker invested 10,000$. Part of the money was invested at 8% per year and the... (answered by checkley77)
The average amount of room, board and tuition at a public 4- year was 17,447 in 2006 and... (answered by TimothyLamb)