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The function models h(t)=−16.1t2+393t+6 h(t) = -16.1t^2 + 393t + 6 , the height of a firework shell in feet t t seconds after launch. Which of the following statements is the best interpretation of the ordered pair (10,2326) (10,2326) ?

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Q. The function models h(t)=−16.1t2+393t+6 h(t) = -16.1t^2 + 393t + 6 , the height of a firework shell in feet t t seconds after launch. Which of the following statements is the best interpretation of the ordered pair (10,2326) (10,2326) ?
  1. Identify Function and Variables: Step 11: Identify the function and variables.\newlineThe function h(t)=−16.1t2+393t+6h(t) = -16.1t^2 + 393t + 6 models the height of a firework shell in feet, tt seconds after launch. Here, tt represents time in seconds, and h(t)h(t) represents height in feet.
  2. Interpret Ordered Pair: Step 22: Interpret the ordered pair (10,2326)(10,2326). The ordered pair (10,2326)(10,2326) means that at t=10t = 10 seconds, the height of the firework is 23262326 feet.
  3. Verify by Plugging: Step 33: Verify by plugging t=10t = 10 into the function.\newlineCalculate h(10)=−16.1(10)2+393(10)+6h(10) = -16.1(10)^2 + 393(10) + 6.\newline=−16.1(100)+3930+6= -16.1(100) + 3930 + 6\newline=−1610+3930+6= -1610 + 3930 + 6\newline=2326= 2326 feet.

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