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While at the dog park, Mabel throws a ball up into the air for her dog Bingo to fetch. The ball's height above the ground in feet can be modeled by the expression 4+65t16t24 + 65t - 16t^2, where tt is the time in seconds after Mabel throws the ball.\newlineWhat does the number 44 represent in the expression?\newlineChoices:\newline(A)the height in feet of the ball when Mabel throws it\newline(B)the time in seconds from when Mabel throws the ball until it reaches its highest point\newline(C)the height in feet of the ball when it reaches its highest point\newline(D)the time in seconds from when Mabel throws the ball until it hits the ground

Full solution

Q. While at the dog park, Mabel throws a ball up into the air for her dog Bingo to fetch. The ball's height above the ground in feet can be modeled by the expression 4+65t16t24 + 65t - 16t^2, where tt is the time in seconds after Mabel throws the ball.\newlineWhat does the number 44 represent in the expression?\newlineChoices:\newline(A)the height in feet of the ball when Mabel throws it\newline(B)the time in seconds from when Mabel throws the ball until it reaches its highest point\newline(C)the height in feet of the ball when it reaches its highest point\newline(D)the time in seconds from when Mabel throws the ball until it hits the ground
  1. Expression for ball's height: The expression for the ball's height is 4+65t16t24 + 65t - 16t^2. The term without tt, which is 44, represents the initial height of the ball when t=0t=0.
  2. Check initial height: Plug in t=0t=0 to check the initial height: 4+65(0)16(0)2=44 + 65(0) - 16(0)^2 = 4.
  3. Height of ball when thrown: The number 44 is the height in feet of the ball when Mabel throws it, which corresponds to choice (A)(A).

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