#1-8: The average cost of four year public colleges is given below: Year 2000 2004 2006 2010 2013 2016 2019 Cost ($) 4,650 5,800 7,070 8,650 9,430 10,230 3,510 1) Use the data from 2006 and 2016 to write a linear equation for P(x), the average cost of Public college x years since 2000. Show your work and round values to the nearest dollar.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
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Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
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#1-8: The average cost of four year public colleges is given below:
2016
9,430
2019
10,230
2013
2006
5,800
2010
2000
3,510
2004
Year
Cost ($)
4,650
7,070
8,650
1) Use the data from 2006 and 2016 to write a linear equation for P(x), the average cost of Public college x
years since 2000. Show your work and round values to the nearest dollar.
Transcribed Image Text:#1-8: The average cost of four year public colleges is given below: 2016 9,430 2019 10,230 2013 2006 5,800 2010 2000 3,510 2004 Year Cost ($) 4,650 7,070 8,650 1) Use the data from 2006 and 2016 to write a linear equation for P(x), the average cost of Public college x years since 2000. Show your work and round values to the nearest dollar.
Expert Solution
Step 1

Use the data from 2006  and 2016

the x years since 2000

so for 2000, x=0

for 2006, x=6

for 2016, x=16

 

Step 2

Average cost =P(x)=mx+b

where m is the slope and b is the y intercept

to find out m we use slope formula

two points are (6,5800)  and (16,9430)

Slope=y2-y1x2-x1=9430-580016-6=363

 

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