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Calculate the average rate of change of the function represented by the table between x = 1 to x = 3, and tell what the average rate represents. (Table below)
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The average rate of change is just the slope.
\[\text{average rate of change}=\frac{y(3)-y(1)}{3-1}\] \(y(x)\) is the value of \(y\) at a given \(x\) value.
\[\frac{ 800 - 900 }{ 3 - 0 }?\]
It's y1 - y2 over x1 - x2
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So 900 - 850 over 0 - 1
over 50 over -1 which is -50, which is our slope. Which is also our speed. :D
The question says x1, and x3 though?
It's on the same line, so it really doesn't matter.
Okay! :D Glad I became a fan of you. xD
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850 - 750 over 1 - 3 100 over -2 100 / -2 -50
Thanks again.
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