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# Sorry, but I suck at word problems with linear equations

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109
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+348

So I feel like this should be easy but I can't seem to figure out how to set up the linear equation

Feb 3, 2021
edited by KennedyPape  Feb 3, 2021

#1
+118470
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This just involves   setting up  a linear equation  like you  might  normally do

Let 1990   = 0     so  2001  =   11

Let  the  first point  be     ( 0, 105)   and  let the  second point  be  (11, 248)

Find  the slope between these points

[ 248 -105  ]  / [ 11  -  0  ]   = 143 /  11  =   13

This is the  slope of our  line and it indicates  that the  tuition  increases by \$13  every year

So    using (0, 105)   the  equation is

C  = 13x + 105

2004  is  14  years  after 1990

So...just  calculate     13 (14)  + 205

For the second  one  just  solve this

352  =  13x + 205

Remember  that  the  x you  find  here is the  number of years AFTER 1990

If you  get  stuck...let  me  know....

Feb 3, 2021
edited by CPhill  Feb 3, 2021
edited by CPhill  Feb 3, 2021
#2
+348
+1

Thank you so much!

When I first tried to do the slope I couldn't figure out how to exactly set it up.

And the last answer is: Correct?!

Thank you for all your help!!

KennedyPape  Feb 3, 2021