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y=(x)/(k)
In the given equation,
k is a constant. If
x were multipled by
(1)/(2), how would the value of
y change?
Choose 1 answer:
A The value of
y would be multiplied by
(1)/(2k).
B The value of
y would be multiplied by
(1)/(2).
(c) The value of
y would not change.
(D) The value of
y would be multiplied by 2 .

$y=\frac{x}{k}$ $\newline$ In the given equation, $k$ is a constant. If $x$ were multipled by $\frac{1}{2}$ , how would the value of $y$ change? $\newline$ Choose $1$ answer: $\newline$ A The value of $y$ would be multiplied by $\frac{1}{2 k}$ . $\newline$ B The value of $y$ would be multiplied by $\frac{1}{2}$ . $\newline$ (c) The value of $y$ would not change. $\newline$ (D) The value of $y$ would be multiplied by $2$ .

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Full solution

Q.

y=\frac{x}{k}

\newline

In the given equation,

k

is a constant. If

x

were multipled by

\frac{1}{2}

, how would the value of

y

change?

\newline

Choose

1

answer:

\newline

A The value of

y

would be multiplied by

\frac{1}{2 k}

.

\newline

B The value of

y

would be multiplied by

\frac{1}{2}

.

\newline

(c) The value of

y

would not change.

\newline

(D) The value of

y

would be multiplied by

2

.

Substitute $x$ with $(1/2)x$ : Start by substituting $x$ with $(1/2)x$ in the equation $y = \frac{x}{k}$ .
Simplify by dividing $x$ : Simplify the expression by dividing $x$ by $2$ first.
Recognize equivalent multiplication: Recognize that dividing $x$ by $2$ is equivalent to multiplying $y$ by $\frac{1}{2}$ , since $k$ remains constant.

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