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 $0.25t^2 - 5t + 32$ , where $t$ is the time in years after it was released. $\newline$ What does the number $32$ 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

0.25t^2 - 5t + 32

, where

t

is the time in years after it was released.

\newline

What does the number

32

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

Identify Constant Term Meaning: The expression for the value of the first edition is $0.25t^2 - 5t + 32$ . We need to identify the meaning of the constant term, which is $32$ .
Constant Term in Quadratic Expression: In a quadratic expression of the form $at^2 + bt + c$ , the constant term $c$ represents the initial value of the function when $t = 0$ .
Calculate Initial Value: Setting $t$ to $0$ in the expression $0.25t^2 - 5t + 32$ gives us the initial value of the first edition. $\newline$ $0.25(0)^2 - 5(0) + 32 = 32$ .
Value of First Edition: The number $32$ represents the value of the first edition in dollars when it was first released.