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h(t)=-4.9t^(2)+18t+0.5 The equation models h, the height, in meters, of a soccer ball t seconds after the goalkeeper kicks it. Which of the following statements is the best interpretation of the ordered pair (3,10.4) ? Choose 1 answer: (A) At 3 seconds after the kick, the distance between the soccer ball and the goalkeeper is 10.4 meters. B) At 3 seconds after the kick, the soccer ball is traveling at a speed of 10.4 meters per second. (C) At 3 seconds after the kick, the height of the soccer ball is 10.4 meters. (D) At 10.4 seconds after the kick, the height of the soccer ball is 3 meters.

h(t)=−4.9t2+18t+0.5h(t)=-4.9t^{2}+18t+0.5 \newlineThe equation models h h , the height, in meters, of a soccer ball t t seconds after the goalkeeper kicks it. Which of the following statements is the best interpretation of the ordered pair (3,10.4) (3,10.4) ?\newlineChoose 11 answer:\newline(A) At 3 3 seconds after the kick, the distance between the soccer ball and the goalkeeper is 10.4 10.4 meters.\newline(B) At 3 3 seconds after the kick, the soccer ball is traveling at a speed of 10.4 10.4 meters per second.\newline(C) At 3 3 seconds after the kick, the height of the soccer ball is 10.4 10.4 meters.\newline(D) At 10.4 10.4 seconds after the kick, the height of the soccer ball is 3 3 meters.

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Q. h(t)=−4.9t2+18t+0.5h(t)=-4.9t^{2}+18t+0.5 \newlineThe equation models h h , the height, in meters, of a soccer ball t t seconds after the goalkeeper kicks it. Which of the following statements is the best interpretation of the ordered pair (3,10.4) (3,10.4) ?\newlineChoose 11 answer:\newline(A) At 3 3 seconds after the kick, the distance between the soccer ball and the goalkeeper is 10.4 10.4 meters.\newline(B) At 3 3 seconds after the kick, the soccer ball is traveling at a speed of 10.4 10.4 meters per second.\newline(C) At 3 3 seconds after the kick, the height of the soccer ball is 10.4 10.4 meters.\newline(D) At 10.4 10.4 seconds after the kick, the height of the soccer ball is 3 3 meters.
  1. Understand the context: Understand the context of the problem.\newlineThe equation h(t)=−4.9t2+18t+0.5h(t) = -4.9t^2 + 18t + 0.5 models the height of a soccer ball at any given time tt after it has been kicked by the goalkeeper. The ordered pair (3,10.4)(3,10.4) represents a specific moment in time (t=3t = 3 seconds) and the corresponding height (h=10.4h = 10.4 meters) of the soccer ball.
  2. Interpret the ordered pair: Interpret the ordered pair (3,10.4)(3,10.4). The first number in the ordered pair, 33, represents the time in seconds after the kick. The second number, 10.410.4, represents the height of the soccer ball in meters at that time. Therefore, the ordered pair (3,10.4)(3,10.4) means that at 33 seconds after the kick, the height of the soccer ball is 10.410.4 meters.
  3. Match interpretation to options: Match the interpretation to the given options.\newlineBased on the interpretation in Step 22, we can see that option (C) ＂At 33 seconds after the kick, the height of the soccer ball is 10.410.4 meters.＂ is the correct interpretation of the ordered pair (3,10.4)(3,10.4).

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