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

Identify Function and Variables: Step 1: Identify the function and variables. The function h(t) = -16.1t^2 + 393t + 6 models the height of a firework shell in feet, t seconds after launch. Here, t represents time in seconds, and h(t) represents height in feet. Interpret Ordered Pair: Step 2: Interpret the ordered pair (10,2326). The ordered pair (10,2326) means that at t = 10 seconds, the height of the firework is 2326 feet. Verify by Plugging: Step 3: Verify by plugging t = 10 into the function. Calculate h(10) = -16.1(10)^2 + 393(10) + 6. = -16.1(100) + 3930 + 6 = -1610 + 3930 + 6 = 2326 feet.

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The function models $h(t) = -16.1t^2 + 393t + 6$ , 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 $(10,2326)$ ?

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Grade 8

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Q. The function models

h(t) = -16.1t^2 + 393t + 6

, 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)

Identify Function and Variables: Step $1$ : Identify the function and variables. $\newline$ The function $h(t) = -16.1t^2 + 393t + 6$ models the height of a firework shell in feet, $t$ seconds after launch. Here, $t$ represents time in seconds, and $h(t)$ represents height in feet.
Interpret Ordered Pair: Step $2$ : Interpret the ordered pair $(10,2326)$ . The ordered pair $(10,2326)$ means that at $t = 10$ seconds, the height of the firework is $2326$ feet.
Verify by Plugging: Step $3$ : Verify by plugging $t = 10$ into the function. $\newline$ Calculate $h(10) = -16.1(10)^2 + 393(10) + 6$ . $\newline$ $= -16.1(100) + 3930 + 6$ $\newline$ $= -1610 + 3930 + 6$ $\newline$ $= 2326$ feet.