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What happens to the value of the expression
(50 )/(p) as
p decreases from a large positive number to
a small positive number?
Choose 1 answer:
A It increases.
(B) It decreases.
(c) It stays the same.

What happens to the value of the expression $\frac{50}{p}$ as $p$ decreases from a large positive number to a small positive number? $\newline$ 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

\frac{50}{p}

as

p

decreases from a large positive number to a small positive number?

\newline

Choose

1

answer:

\newline

(A) It increases.

\newline

(B) It decreases.

\newline

(C) It stays the same.

Understanding Inverse Proportion: Let's consider the expression $(\frac{50}{p})$ . We want to understand how this expression changes as the value of $p$ changes. Since $p$ is in the denominator, we know that the value of the expression is inversely proportional to the value of $p$ . This means that as $p$ increases, the value of the expression decreases, and as $p$ decreases, the value of the expression increases.
Illustrating with Examples: To illustrate this, let's take a large positive number for $p$ , say $p = 100$ . The expression $(50/p)$ would then be $(50/100) = 0.5$ . Now, if we decrease $p$ to a smaller positive number, say $p = 10$ , the expression becomes $(50/10) = 5$ . We can see that as $p$ decreased from $100$ to $10$ , the value of the expression increased from $p = 100$ $0$ to $p = 100$ $1$ .
Generalizing Behavior: Since we are considering the behavior as $p$ decreases from a large positive number to a small positive number, we can generalize that the value of the expression $\frac{50}{p}$ increases as $p$ decreases, as long as $p$ remains positive.

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