If a company earned $100,000 in 1980 and $400,000 in 2010, what was its average rate of change per year?

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If a company earned $100,000 in 1980 and $400,000 in 2010, what was its average rate of change per year?

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Answer 1 · 2014-09-28T19:58:57

The average rate of change is the slope of the secant line or just line that intersects $2$ $2$ points on a graph.

If you think of the information as coordinates on a graph the points would be $(1980, 10000)$ $(1980,10000)$ and $(2010, 400000) .$ $(2010,400000).$

$(x_{1}, y_{1}) \to (1980, 10000)$ $(x_1,y_1)->(1980,10000)$
$(x_{2}, y_{2}) \to (2010, 40000)$ $(x_2,y_2)->(2010,40000)$

Average rate of change =

$\frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{400000 - 100000}{2010 - 1980} = \frac{300000}{30} = \frac{30000}{3} = 10000$ $(y_2-y_1)/(x_2-x_1)=(400000-100000)/(2010-1980)=300000/30=30000/3=10000$

The average rate of change per year is $10000.

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If a company earned $100,000 in 1980 and $400,000 in 2010, what was its average rate of change per year?

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