the michigan veteran population in 1990 was 14.2% and in 2000 was 12.4%. a) Let y represent the percent of Michiganders who were veterans and x represent the years since 1990. Find a linear model of this situation,rounding to two decimal places.
Accepted Solution
A:
Since we are given two ordered pairs or points, therefore
we can use the point-slope formula to create the linear model.
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The general equation is in the form of:
y = mx + b
where m is the slope and b is the y-intercept
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The slope can be calculated as:
m = (y2 β y1) / (x2 β x1)
m = (12.4 β 14.2) / (2000 β 1990)
m = -0.18
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SO:
y = -0.18x + b
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Choosing any ordered pair to calculate for b:
12.4 = -0.18(2000) + b
b = 372.4
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Hence,
y = -0.18x + 372.4
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