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What happens to the value of the expression
(2t)/(t) as
t decreases?
Choose 1 answer:
A It increases.
(B) It decreases.
(C) It stays the same.

What happens to the value of the expression $\frac{2 t}{t}$ as $t$ decreases? $\newline$ Choose $1$ answer: $\newline$ (A) It increases. $\newline$ (B) It decreases. $\newline$ (C) It stays the same.

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Convert an explicit formula to a recursive formula

Full solution

Q. What happens to the value of the expression

\frac{2 t}{t}

as

t

decreases?

\newline

Choose

1

answer:

\newline

(A) It increases.

\newline

(B) It decreases.

\newline

(C) It stays the same.

Expression Simplification: We need to analyze the expression $(2t)/(t)$ as $t$ decreases. Let's simplify the expression first. $\newline$ $(2t)/(t) = 2 \times (t/t)$ $\newline$ Since $t/t$ is equal to $1$ for all $t \neq 0$ , the expression simplifies to: $\newline$ $(2t)/(t) = 2 \times 1$ $\newline$ $(2t)/(t) = 2$
Constant Value: Now that we have simplified the expression, we can see that it does not depend on $t$ , as long as $t$ is not zero. This means that the value of the expression is constant and does not change as $t$ decreases.
Conclusion: Since the value of the expression $(2t)/(t)$ remains $2$ regardless of the value of $t$ (except when $t = 0$ , where the expression is undefined), we can conclude that the expression stays the same as $t$ decreases.

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