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

What happens to the value of the expression $b-1$ as $b$ increases? $\newline$ Choose $1$ answer: $\newline$ (A) It increases. $\newline$ (B) It decreases. $\newline$ (C) It stays the same.

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Transformations of absolute value functions: translations and reflections

Full solution

Q. What happens to the value of the expression

b-1

as

b

increases?

\newline

Choose

1

answer:

\newline

(A) It increases.

\newline

(B) It decreases.

\newline

(C) It stays the same.

Analysis of Expression: Let's analyze the expression $b - 1$ . As $b$ increases, we are adding a larger number to $-1$ . For example, if $b$ goes from $2$ to $3$ , the expression changes from $2 - 1$ to $3 - 1$ . This is a simple linear relationship without any complex operations that could affect the trend.
Calculation for Different Values: To further illustrate, let's calculate the expression for two different values of $b$ . If $b = 2$ , then $b - 1 = 2 - 1 = 1$ . If $b = 3$ , then $b - 1 = 3 - 1 = 2$ . We can see that as $b$ increased by $1$ , the value of the expression also increased by $1$ .
Pattern of Increase: This pattern will hold for any increase in $b$ . If $b$ increases by any positive amount, the value of $b - 1$ will increase by the same amount because the $-1$ is a constant and does not change.
Conclusion: Therefore, we can conclude that as $b$ increases, the value of the expression $b - 1$ also increases. This is because the expression represents a direct relationship between $b$ and its value.

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\newline

\newline

\qquad

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\newline

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\newline

\square

\newline

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