Question

Graphing Linear Equations Unit Test
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Question
Write the ratio 12:9
as an equivalent ratio of 4:x
. Write your answer as a complete ratio. (1 point)

Answer 1

To find an equivalent ratio for \( 12:9 \) in the form of \( 4:x \), we need to find the value of \( x \).

First, simplify the ratio \( 12:9 \):

\[
\frac{12}{9} = \frac{4}{3}
\]

Now set up the equivalent ratio with \( 4:x \):

\[
\frac{4}{3} = \frac{4}{x}
\]

Now, we can cross-multiply to solve for \( x \):

\[
4 \cdot x = 4 \cdot 3
\]

This simplifies to:

\[
4x = 12
\]

Now, divide both sides by 4:

\[
x = 3
\]

Thus, the equivalent ratio is:

\[
4:3
\]

So the final answer is \( 4:3 \).