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# How do you build a linear of equation to this problem? And can some explain this concept to me?

Smithwares Metal Co. had sales of $48000 in 2004 and $64000 in 2012. Build a Linear Equation to reflect sales in terms of years since 2004. Then use your line to predict the sales in 2017.

I need steps to go about this problem,

### 2 Answers

- MichaelLv 71 month agoFavorite Answer
x = years since 2004

y = sales

There are two given years

for 2004

x = 0

y = 48000

point (0, 48000)

for 2012

x = 2012 - 2004 = 8

y = 64000

point (8, 64000)

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use linear equation

y = mx + b

m is the slope and b is the y-intercept

m = rise / run

m = (64000 - 48000) / (8 - 0)

m = 16000 / 8

m = 2000

in the first point (0, 48000) since x = 0, the y value is the y-intercept

b = 48000

The linear equation becomes

y = 2000x + 48000 <––––

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For 2017

x = 2017 - 2004 = 13

y = 2000(13) + 48000

y = 26000 + 48000

y = 74000

$74000 <–––––

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- charlatanLv 71 month ago
P(2017)=((64000-48000)/(2012-2004)*(2017-2004))+48000)=74000

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