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Violent crimes equation

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The number of violent crimes reported in the U.S. in 1995 was 1,798,790, and decreased to 1,682,280 in 1996. Assume that the function that relates the number of violent crimes as the dependent variable, with the year that the
number of crimes occurred as the independent variable, is linear.

Write an equation for the line.
If this equation were valid forever, how many years would it take for violent crime to disappear?
Is the assumption that the function is linear a reasonable assumption? Explain.

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The expert examines violent crimes equation.

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Hi,

We let:

x = number of years (with x = 0 at 1995)
y = number of violent crimes

We get the slope:
m = (1682280 - 1798790)/(1 - 0)
m = -116510

The linear equation is:
y - 1798790 = -116510(x - ...

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