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Mr. Johnston's physics class went to the football field to launch a rocket into the air. The rocket's height in feet, f(x)f(x), depends on the number of seconds, xx, that have elapsed since launch.\newlineWhat does f(8)=0f(8) = 0 tell you?\newlineChoices:\newline(A)The rocket starts its launch 88 feet above the ground.\newline(B)After 88 seconds, the rocket has already landed on the field.

Full solution

Q. Mr. Johnston's physics class went to the football field to launch a rocket into the air. The rocket's height in feet, f(x)f(x), depends on the number of seconds, xx, that have elapsed since launch.\newlineWhat does f(8)=0f(8) = 0 tell you?\newlineChoices:\newline(A)The rocket starts its launch 88 feet above the ground.\newline(B)After 88 seconds, the rocket has already landed on the field.
  1. Given Function Interpretation: We are given a function f(x)f(x) that represents the rocket's height in feet at any given time xx seconds after launch. We need to interpret what f(8)=0f(8) = 0 means in this context.
  2. Function Value Analysis: The function value f(8)=0f(8) = 0 means that at x=8x = 8 seconds, the height of the rocket, f(x)f(x), is 00 feet. This implies that the rocket is at ground level at that time.
  3. Correct Interpretation Comparison: Now we need to choose the correct interpretation of f(8)=0f(8) = 0 from the given choices. \newline(A) suggests that the rocket starts its launch 88 feet above the ground, which is not related to the time elapsed or the height after 88 seconds.\newline(B) suggests that after 88 seconds, the rocket has already landed on the field, which matches the information given by f(8)=0f(8) = 0.
  4. Final Conclusion: Therefore, the correct interpretation of f(8)=0f(8) = 0 is that after 88 seconds, the rocket has already landed on the field.

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