Question

Question
Use the table to answer the question.

8 48
10 60
x 72
y 84
Analyze the ratios in the table to find the missing values.(1 point)
Responses

18; 26
18; 26

22; 34
22; 34

12; 14
12; 14

432; 504
432; 504
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Answer 1

To find the missing values of \(x\) and \(y\) in the table, we can analyze the ratios. The table shows pairs of numbers formatted as:

\[
\begin{array}{c|c}
\text{First value} & \text{Second value} \\
\hline
8 & 48 \\
10 & 60 \\
x & 72 \\
y & 84 \\
\end{array}
\]

Let's start with the known pairs to identify a pattern:

1. For the first pair (8, 48):
\[
\frac{48}{8} = 6
\]
This indicates that the second value is 6 times the first.

2. For the second pair (10, 60):
\[
\frac{60}{10} = 6
\]
This shows that this ratio is also 6 times.

Now we apply this ratio to find \(x\) and \(y\).

3. For \(x\) and 72:
\[
72 = 6x \implies x = \frac{72}{6} = 12
\]

4. For \(y\) and 84:
\[
84 = 6y \implies y = \frac{84}{6} = 14
\]

Thus, the missing values are \(x = 12\) and \(y = 14\).

The response is:
**12; 14**