The speed of a hockey puck x seconds after a hockey stick strikes it is given by the function f(x). The speed is measured in feet per second. What does f(0.5) = 150 tell you? Choices: (A)Exactly 0.5 seconds after being struck, the puck has traveled 150 feet. (B)Exactly 0.5 seconds after being struck, the puck is moving 150 feet per second.

Question

The speed of a hockey puck x seconds after a hockey stick strikes it is given by the function f(x). The speed is measured in feet per second. What does f(0.5) = 150 tell you?   Choices: (A)Exactly 0.5 seconds after being struck, the puck has traveled 150 feet. (B)Exactly 0.5 seconds after being struck, the puck is moving 150 feet per second.

Bytelearn · Accepted Answer

Function Interpretation: The function f(x) represents the speed of the hockey puck x seconds after being struck. The value f(0.5) = 150 gives us information about the speed of the puck at a specific time.Speed at 0.5 Seconds: To interpret f(0.5) = 150, we need to understand that the function f(x) gives the speed of the puck at any time x. Therefore, f(0.5) = 150 means that at 0.5 seconds after being struck, the speed of the puck is 150 feet per second.Correct Choice Explanation: Now we look at the choices given to determine which one correctly describes the situation based on our interpretation of f(0.5) = 150. (A) This choice suggests that the puck has traveled 150 feet in 0.5 seconds, which would be a statement about distance, not speed. (B) This choice suggests that the puck is moving at a speed of 150 feet per second exactly 0.5 seconds after being struck, which aligns with our interpretation of the function value.Based on the function and our interpretation, we can conclude that the correct choice is (B) because it accurately describes the speed of the puck in terms of feet per second at the specific time of 0.5 seconds after being struck.

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