When Bazillium released its signature trading-card game, Wandering Wizards, the value of a first-edition deck decreased at first. As the game got more popular and the deck became more rare, its value started to increase. The value of a first-edition deck in dollars can be modeled by the expression $0.25t^2 - 4t + 28$ , where $t$ is the time in years after it was first released. $\newline$ What does the number $28$ represent in the expression? $\newline$ (A)the time in years from when the deck was released until its value was the least $\newline$ (B)the deck's value in dollars when it was first released $\newline$ (C)the time in years from when the deck was released until its value was the same as when it was first released $\newline$ (D)the deck's value in dollars when it was worth the least

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Interpret parts of quadratic expressions: word problems

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Q. When Bazillium released its signature trading-card game, Wandering Wizards, the value of a first-edition deck decreased at first. As the game got more popular and the deck became more rare, its value started to increase. The value of a first-edition deck in dollars can be modeled by the expression

0.25t^2 - 4t + 28

, where

t

is the time in years after it was first released.

\newline

What does the number

28

represent in the expression?

\newline

(A)the time in years from when the deck was released until its value was the least

\newline

(B)the deck's value in dollars when it was first released

\newline

(C)the time in years from when the deck was released until its value was the same as when it was first released

\newline

(D)the deck's value in dollars when it was worth the least

Identify Constant Term: Look at the expression $0.25t^2 - 4t + 28$ . The term $28$ is the constant term in the quadratic expression.
Interpret Constant Term: In the context of the problem, the constant term represents the initial value of the deck when $t = 0$ .
Confirm Initial Value: Plug in $t = 0$ into the expression to confirm the initial value. $0.25(0)^2 - 4(0) + 28 = 28$ .
Initial Deck Value: The number $28$ is the value of the deck in dollars when it was first released.