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h(t)=-16.1t^(2)+393 t+6
The function models 
h, the height of a firework shell in feet 
t seconds after launch. Which of the following statements is the best interpretation of the ordered pair 
(10,2326) ?
Choose 1 answer:
(A) At 10 seconds after launch, the firework shell has traveled a total of 2,326 feet.
(B) At 10 seconds after launch, the height of the firework shell is 2,326 feet.
(C) When the height of the firework shell is 2,326 feet, the shell is traveling at a speed of 10 feet per second.
(D) When the height of the firework shell is 2,326 feet, the shell has also traveled 10 feet horizontally.

h(t)=16.1t2+393t+6 h(t)=-16.1 t^{2}+393 t+6 \newlineThe function models h h , 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) ?\newlineChoose 11 answer:\newline(A) At 1010 seconds after launch, the firework shell has traveled a total of 22,326326 feet.\newline(B) At 1010 seconds after launch, the height of the firework shell is 22,326326 feet.\newline(C) When the height of the firework shell is 22,326326 feet, the shell is traveling at a speed of 1010 feet per second.\newline(D) When the height of the firework shell is 22,326326 feet, the shell has also traveled 1010 feet horizontally.

Full solution

Q. h(t)=16.1t2+393t+6 h(t)=-16.1 t^{2}+393 t+6 \newlineThe function models h h , 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) ?\newlineChoose 11 answer:\newline(A) At 1010 seconds after launch, the firework shell has traveled a total of 22,326326 feet.\newline(B) At 1010 seconds after launch, the height of the firework shell is 22,326326 feet.\newline(C) When the height of the firework shell is 22,326326 feet, the shell is traveling at a speed of 1010 feet per second.\newline(D) When the height of the firework shell is 22,326326 feet, the shell has also traveled 1010 feet horizontally.
  1. Plug in t=10t=10: Plug in t=10t=10 into the function h(t)h(t) to check if the height is indeed 23262326 feet.\newlineh(10)=16.1(10)2+393(10)+6h(10) = -16.1(10)^2 + 393(10) + 6
  2. Calculate square of 1010: Calculate the square of 1010. \newline(10)2=100(10)^2 = 100
  3. Multiply 16.1-16.1: Multiply 16.1-16.1 by 100100.\newline16.1×100=1610-16.1 \times 100 = -1610
  4. Multiply 393393: Multiply 393393 by 1010.\newline393×10=3930393 \times 10 = 3930
  5. Add all terms together: Add all the terms together.\newline1610+3930+6=2326-1610 + 3930 + 6 = 2326
  6. Confirm height at t=10t=10: Since h(10)h(10) equals 23262326, the ordered pair (10,2326)(10,2326) means at 1010 seconds after launch, the height of the firework shell is 23262326 feet.

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