Water is filling a pool. The function W gives the pool's water level (in meters) after t minutes. What is the best interpretation for the following statement? The slope of the line tangent to the graph of W at t = 5 is equal to 0.1.

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03-01-2022
Mathematics

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Water is filling a pool. The function W gives the pool's water level (in meters) after t minutes. What is the best interpretation for the following statement? The slope of the line tangent to the graph of W at t = 5 is equal to 0.1.

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oladayoademosu oladayoademosu · Answer 1 · 2022-01-14T10:46:28+01:00

The best interpretation of the statement the slope of the line tangent to the graph of W at t = 5 is equal to 0.1.is the rate at which the pool is filling when t = 5 is 0.1.

Slope of tangent Line

We know that the slope of the line tangent to the graph is the gradient of the tangent line to the graph.

Also, the slope of the line tangent to the graph is the rate at which water fills the tank.

So, the slope of the line tangent to the graph being equal to 0.1 at t = 5 implies that the rate at which the pool is filling at time t = 5 minutes is 0.1.

So, the best interpretation of the statement the slope of the line tangent to the graph of W at t = 5 is equal to 0.1.is the rate at which the pool is filling when t = 5 is 0.1.

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