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 . Choose 1 answer: (A) After 5 minutes, the pool is being filled at a rate of 0.1 meters per minute. B The pool is being filled at a rate of (0.1)/(5) meters per minute. (C) After 5 minutes, the pool's water level is 0.1 meters. (D) After 5 minutes, the pool is being filled at a rate of 0.1 minutes per meter.

Question

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 . Choose 1 answer: (A) After 5 minutes, the pool is being filled at a rate of 0.1 meters per minute. B The pool is being filled at a rate of  (0.1)/(5) meters per minute. (C) After 5 minutes, the pool's water level is 0.1 meters. (D) After 5 minutes, the pool is being filled at a rate of 0.1 minutes per meter.

Bytelearn · Accepted Answer

Rate of Change Definition: The slope of a line tangent to a function at a given point represents the rate of change of the function at that point.Water Level Slope at t=5: Since W represents the water level after t minutes, the slope at t=5 represents the rate at which the water level is changing at 5 minutes.Interpretation of Slope: The slope given is 0.1, which means the water level is rising at a rate of 0.1 meters per minute at t=5.Pool Filling Rate: Therefore, the correct interpretation of the statement is that after 5 minutes, the pool is being filled at a rate of 0.1 meters per minute.

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