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The value of the first edition of the Detective Kluey graphic novel series decreased after it was released. Over time, as the series became more popular, the value of the first edition started to increase. The value of the first edition in dollars can be modeled by the expression 0.25t2−5t+320.25t^2 - 5t + 32, where tt is the time in years after it was released.\newlineWhat does the number 3232 represent in the expression?\newline(A)the time in years from when the first edition was released until its value was the least\newline(B)the time in years from when the first edition was released until its value was the same as when it was first released\newline(C)the first edition's value in dollars when it was worth the least\newline(D)the first edition's value in dollars when it was first released

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Q. The value of the first edition of the Detective Kluey graphic novel series decreased after it was released. Over time, as the series became more popular, the value of the first edition started to increase. The value of the first edition in dollars can be modeled by the expression 0.25t2−5t+320.25t^2 - 5t + 32, where tt is the time in years after it was released.\newlineWhat does the number 3232 represent in the expression?\newline(A)the time in years from when the first edition was released until its value was the least\newline(B)the time in years from when the first edition was released until its value was the same as when it was first released\newline(C)the first edition's value in dollars when it was worth the least\newline(D)the first edition's value in dollars when it was first released
  1. Identify Constant Term Meaning: The expression for the value of the first edition is 0.25t2−5t+320.25t^2 - 5t + 32. We need to identify the meaning of the constant term, which is 3232.
  2. Constant Term in Quadratic Expression: In a quadratic expression of the form at2+bt+cat^2 + bt + c, the constant term cc represents the initial value of the function when t=0t = 0.
  3. Calculate Initial Value: Setting tt to 00 in the expression 0.25t2−5t+320.25t^2 - 5t + 32 gives us the initial value of the first edition.\newline0.25(0)2−5(0)+32=320.25(0)^2 - 5(0) + 32 = 32.
  4. Value of First Edition: The number 3232 represents the value of the first edition in dollars when it was first released.

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