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Mathematics 21 Online
OpenStudy (anonymous):

This is regarding salary? confused:: 1991 - 268,000 2001-1,420,000 These are the avg in years!! use data plots to find linier function that fits the data? Let x=number of years since 1990 and s=avg salary x years from 1990 Find a linier function that fits the data S(X)= Predict the avg for 2005 (round to whole numb) 2010(round to whole Numb)

OpenStudy (anonymous):

I find word probleems hard never mind with this!! why

OpenStudy (anonymous):

its the formulas to get all the information i get all confused.

OpenStudy (anonymous):

formula for slope is \[m=\frac{y_2-y_1}{x_2-x_1}\]

OpenStudy (anonymous):

who has an average salary of $268,000 in 1991?

OpenStudy (anonymous):

investment bankers?

OpenStudy (anonymous):

athelete

OpenStudy (anonymous):

oooooooooooooh ok

OpenStudy (anonymous):

so you want the change in y over the change in x. \[\frac{1,420,000 -268,000}{2001-1991}\]

OpenStudy (anonymous):

\[m=\frac{1152000}{10}=115,200\] i.e. salaries increased by $115,200 per year since 1991

OpenStudy (anonymous):

1152000/10

OpenStudy (anonymous):

i got that part but then im lost

OpenStudy (anonymous):

got it

OpenStudy (anonymous):

oh that was the hard part. now comes the easy part. you are turning 1991 in to year 0, so your y - intercept is what you started with in 1991, namely 268,000 and your linear equation is \[S(x)=115200 x + 268,000\] where x is in years since 1991

OpenStudy (anonymous):

looks just like \[y=mx+b\] where "m" is the slope and "b" is the y - intercept

OpenStudy (anonymous):

so you have to use two formulas

OpenStudy (anonymous):

is this one to get the yeas 2005 and 2010 prediction

OpenStudy (anonymous):

first find the slope. then write it in "point-slope" form

OpenStudy (anonymous):

yes but don't forget you are using x = years since 1991, so the year 2005 corresponds to \[x=2005-1991= 14\] in simple english 14 years since 1991

OpenStudy (anonymous):

likewise 2010 is x = 19

OpenStudy (anonymous):

ok so since im looking for since years 1990 it would be 2005-1990 and 2010-1990 giving me 15 and 10

OpenStudy (anonymous):

unless i read it wrong it says years since 1991, not 1990

OpenStudy (anonymous):

i mean if it tells you what you start with in 1991, then that is where you start counting

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