1.) The average tuition at a public two-year college was $1359 in 2001 and $1847
ID: 3103690 • Letter: 1
Question
1.) The average tuition at a public two-year college was $1359 in 2001 and $1847 in 2005. Graph the data and determine an equation for the related line. Then (a) calculate the average tuition at a public two-year college in 2004 and (b) predict the average tuition at a public two-year college in 2012.2.)Given the linear equation y=-2/3x-2 , find the y-coordinates of the points (-9, ), (-3, ), and (6, ). Please show all of your work. Plot those points and graph the linear equation. Submit your graph through the dropbox. (Points : 12)
3.)Find the x and y intercepts and graph the equation plotting the intercepts. Please show all of your work. 5x-6y=-30
4.)Write the slope-intercept equation for the line with slope -1/2 and y-intercept (0, 3) and graph the line.
5.)Write the slope-intercept equation for the line that passes through (-9, -5) and has slope 2/9. Please show all of your work.
Write the slope-intercept equation for the line that passes through (-4, -3) and (-6, 7).
Write the slope-intercept equation for the line that passes through (-14, -3) and is perpendicular to -7x – 4y = -4 Please show all of your work.
The population in a town in Wisconsin dropped from 350,000 in 1994 to 315,000 in 2004. Predict the population in 2018. (Points : 5)
Explanation / Answer
i will be using point slope to find some of the answers.
1.) The average tuition at a public two-year college was $1359 in 2001 and $1847 in 2005. Graph the data and determine an equation for the related line.
first find the slope...
make 2001=1 and 2005=5 so calculations become easier
(1847-1359)/(5-1)=488/4=122 slope of the equation trying to find
use point slope to find the y intercept
y=122(x-1)+1359 --->y=122x+1237
(a) calculate the average tuition at a public two-year college in 2004
since the equation is y=122x+1237 just plug in 4for 2004
y=122(4) + 1237---->1725
(b) predict the average tuition at a public two-year college in 2012.
since the equation is y=122x+1237 just plug in 12 for 2012
y=122(12)+1237--->y=2701
2.)Given the linear equation y=-2/3x-2 , find the y-coordinates of the points (-9, ), (-3, ), and (6, ). Please show all of your work. Plot those points and graph the linear equation. Submit your graph through the dropbox.
y=(-2/3)x-2---->y=(-2/3)(-9)-2---->y=6-2--->y=4 (-9,4)
y=(-2/3)x-2---->y=(-2/3)(-3)-2---->y=2-2--->y=0 (-3,0)
y=(-2/3)x-2---->y=(-2/3)(6)-2---->y=-4-2--->y=0 (6,-6)
3.)Find the x and y intercepts and graph the equation plotting the intercepts. Please show all of your work. 5x-6y=-30
to get the y intercept you need to solve for y in terms of x
5x-6y=-30
-6y=-30-5x
y=5+(5/6)x y intercept is 5
to get the x intercept you need to solve for x in terms of y
5x-6y=-30
5x=-30+6y
x=-6+(6/5)y x intercept=-6
4.)Write the slope-intercept equation for the line with slope -1/2 and y-intercept (0, 3) and graph the line.
y=(-1/2)+3
5.)Write the slope-intercept equation for the line that passes through (-9, -5) and has slope 2/9. Please show all of your work.
y=(2/9)(x-9)-5
y=(2/9)-7
Write the slope-intercept equation for the line that passes through (-4, -3) and (-6, 7).
(-3_7)/(-4_-6)=(-10/2)=-5 slope
y=-5(x+4)-3
y=-5x-23
Write the slope-intercept equation for the line that passes through (-14, -3) and is perpendicular to -7x – 4y = -4 Please show all of your work.
perpendicular means that the slopes are opposite and recipricals
solve for y in terms of x
-7x – 4y = -4
-4y=-4+7x
y=1-(7/4)x----->slope of the other line is 4/7 since is opposite
y=(4/7)(x+14)-3
y=(4/7)x+5
The population in a town in Wisconsin dropped from 350,000 in 1994 to 315,000 in 2004. Predict the population in 2018
make 1994=4, 2004=14, and 1990=0 to make the calculations easier
(350000-315000)/(14-4)=335000/10=33500 is the slope
y=33500(18-14)+35000
y=449000
i really dont know how to show you the graphs for some of these answers....also i couldn't find my calculatr so i apologize if some of these answers are wrong
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