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Average Rate of Change as Slope of Secant

For the follo...

Question

For the following graph, find the rate of filling the bucket by the with a pipe:

A

2 L/min

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B

3 L/min

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C

4 L/min

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D

5 L/min

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Solution

The correct option is D 5 L/min
Rate of filling = Slope

$= \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

$= \frac{45 - 10}{9 - 2}$

$= \frac{35}{7}$

$= 5$

$∴$ Required rate = 5 L/min

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