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The speed of a baseball xx seconds after the pitcher releases it is given by the function f(x)f(x). The speed is measured in meters per second.\newlineWhat does f(0.3)=39.8f(0.3) = 39.8 tell you?\newlineChoices:\newline(A) The ball traveled 39.839.8 meters within 0.30.3 seconds of being released.\newline(B) The ball has a speed of 39.839.8 meters per second 0.30.3 seconds after it's released.

Full solution

Q. The speed of a baseball xx seconds after the pitcher releases it is given by the function f(x)f(x). The speed is measured in meters per second.\newlineWhat does f(0.3)=39.8f(0.3) = 39.8 tell you?\newlineChoices:\newline(A) The ball traveled 39.839.8 meters within 0.30.3 seconds of being released.\newline(B) The ball has a speed of 39.839.8 meters per second 0.30.3 seconds after it's released.
  1. Identify Function Representation: Identify what the function f(x)f(x) represents in the context of the problem.\newlineThe function f(x)f(x) gives the speed of the baseball xx seconds after the pitcher releases it, measured in meters per second.
  2. Interpret f(0.3)=39.8f(0.3) = 39.8: Interpret the meaning of f(0.3)=39.8f(0.3) = 39.8 in the context of the problem.\newlineThe value f(0.3)=39.8f(0.3) = 39.8 means that 0.30.3 seconds after the baseball is released by the pitcher, its speed is 39.839.8 meters per second.
  3. Choose Correct Interpretation: Choose the correct interpretation from the given choices.\newlineBased on the interpretation of f(0.3)=39.8f(0.3) = 39.8, the correct choice is (B) The ball has a speed of 39.839.8 meters per second 0.30.3 seconds after it's released. This is because the function value represents the speed at a specific time, not the distance traveled.

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