What happens to the value of the expression (q)/( 20) as q decreases? Choose 1 answer: A It increases. (B) It decreases. (c) It stays the same.

Analysis of the expression: Let's analyze the expression (q)/(20). This is a direct proportionality between q and the value of the expression. As q changes, the value of the expression will change in the same direction because the denominator, 20, is a constant positive number.Effect of decreasing q: Now, let's consider what happens when q decreases. Since q is in the numerator, if we decrease q, the overall value of the fraction (q)/(20) will also decrease. This is because we are dividing a smaller number by the same positive constant.Confirmation through example: To confirm our reasoning, we can think of a simple example. If q decreases from 20 to 10, the value of the expression changes from (20)/(20) = 1 to (10)/(20) = 0.5. Clearly, the value of the expression has decreased.

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What happens to the value of the expression
(q)/( 20) as
q decreases?
Choose 1 answer:
A It increases.
(B) It decreases.
(c) It stays the same.

What happens to the value of the expression $\frac{q}{20}$ as $q$ decreases? $\newline$ Choose $1$ answer: $\newline$ (A) It increases. $\newline$ (B) It decreases. $\newline$ (C) It stays the same.

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Math Problems

Algebra 1

Transformations of absolute value functions: translations and reflections

Full solution

Q. What happens to the value of the expression

\frac{q}{20}

q

decreases?

\newline

Choose

1

answer:

\newline

(A) It increases.

\newline

(B) It decreases.

\newline

Analysis of the expression: Let's analyze the expression $(q)/(20)$ . This is a direct proportionality between $q$ and the value of the expression. As $q$ changes, the value of the expression will change in the same direction because the denominator, $20$ , is a constant positive number.
Effect of decreasing $q$ : Now, let's consider what happens when $q$ decreases. Since $q$ is in the numerator, if we decrease $q$ , the overall value of the fraction $\frac{q}{20}$ will also decrease. This is because we are dividing a smaller number by the same positive constant.
Confirmation through example: To confirm our reasoning, we can think of a simple example. If $q$ decreases from $20$ to $10$ , the value of the expression changes from $(20)/(20) = 1$ to $(10)/(20) = 0.5$ . Clearly, the value of the expression has decreased.