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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 has a speed of 39.839.8 meters per second 0.30.3 seconds after it's released.\newline(B)The ball traveled 39.839.8 meters within 0.30.3 seconds of being 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 has a speed of 39.839.8 meters per second 0.30.3 seconds after it's released.\newline(B)The ball traveled 39.839.8 meters within 0.30.3 seconds of being 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. The 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. (A) correctly states that the ball has a speed of 39.839.8 meters per second 0.30.3 seconds after it's released, which matches our interpretation of f(0.3)=39.8f(0.3) = 39.8. (B) is incorrect because it suggests the ball traveled 39.839.8 meters in 0.30.3 seconds, which is not what the function value indicates.

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