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The value of a limited-edition porcelain doll decreased at first, but then the doll became harder to find, and the value started to increase. The value of the doll can be modeled by the expression 0.25t2−3t+240.25t^2 - 3t + 24, where tt is the time in years after it was first released.\newlineWhat does the number 2424 represent in the expression?\newlineChoices:\newline(A)the time in years from when the doll was released until its value was the same as when it was first released\newline(B)the doll's value in dollars when it was worth the least\newline(C)the time in years from when the doll was released until its value was the least\newline(D)the doll's value in dollars when it was first released

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Q. The value of a limited-edition porcelain doll decreased at first, but then the doll became harder to find, and the value started to increase. The value of the doll can be modeled by the expression 0.25t2−3t+240.25t^2 - 3t + 24, where tt is the time in years after it was first released.\newlineWhat does the number 2424 represent in the expression?\newlineChoices:\newline(A)the time in years from when the doll was released until its value was the same as when it was first released\newline(B)the doll's value in dollars when it was worth the least\newline(C)the time in years from when the doll was released until its value was the least\newline(D)the doll's value in dollars when it was first released
  1. Identify Constant Term: The expression for the doll's value is 0.25t2−3t+240.25t^2 - 3t + 24. We need to identify the meaning of the constant term, which is 2424.
  2. Constant Term Meaning: The constant term in a quadratic equation represents the initial value of the function when t=0t = 0. So, when t=0t = 0, the value of the doll is 2424 dollars.
  3. Doll's Initial Value: Therefore, the number 2424 represents the doll's initial value in dollars when it was first released.

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