Question 188088: In recent decades, the percentage of the U.S. population age 16 and over that is in the work force has risen at a roughly constant rate, from 59.4% in 1960 to 66.6% in 2002.
I need to find the equation describing the relationship. I believe I need to find the slope first. Which is the change in y1-y over x1-x. But I' don't know how to express this.
Please help me find the equation.
tom.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In recent decades, the percentage of the U.S. population age 16 and over that is in the work force has risen at a roughly constant rate, from 59.4% in 1960 to 66.6% in 2002.
I need to find the equation describing the relationship. I believe I need to find the slope first.
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You have two points: (0,59.4) and (42,66.6)
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Note: The "0" represents 1960 and the 42 represents 2002 which is 42 years
after 1960.
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Now the slope between these two points is (66.6-59.4)/(42-0) = 0.1714
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The intercept is P(0)= 59.4
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So the equation is P(x) = 0.1714x + 59.4, where x is the number of years
after 1960 and "P" stands for percent.
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Cheers,
Stan H.
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