linear equations..?

Obsession

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Mar 4, 2006
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Where do you buy your music these days? You say, "At a music store!", right? Well, maybe not. Demographers (people who study economic trends) say that throughout the 1990's there was a definite shift as to where music was purchased.

Year - Music stores ; Other stores
1990 - 69.8% ; 18.5%
1996 - 49.9% ; 31.5%
2000 - 42.4% ; 40.8%

So it's clear that music stores are not the overwhelming choice one might think.

Your tasks are to:

1.Determine the linear equation for each type of store for the first two years above.
2.Use those equations to 'predict' the percentage values for 2000.

--
I know that this problem uses linear equations and it shouldn't be that hard, but I don't know how to set up the equation.
I went through this section in my book again, and found the two types of linear equations:
Slope-Intercept form - y = mx + b
and
Standard form - Ax + By = C
The problem I'm having though is I have no clue how to set up the linear equations for the information from the first two years
 
let t = 0 be 1990
then 1996 is t = 6

music stores ...
t = 0, P = 70% (i'm rounding off because I'm lazy)
t = 6, P = 50%

slope = (delta P)/(delta t) = (50-70)/(6-0) = -20/6
y-intercept is the value of P when t = 0 {P is your y-value, t is your x-value}

P = (-20/6)t + 70

kapish?
 
okay, I got that, but what does it mean to 'predict' the percentage values.

Does it mean to make an equation for the last two years(for 2000) and then solve it?
 
the year 2000 is t = 10 ... evaluate the value of P using t = 10 in your linear equation.
 
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