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

22; 34
22; 34

18; 26
18; 26

12; 14
12; 14

432; 504
432; 504
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Answer 1

To analyze the ratios in the table, we can look at the relationship between the numbers in each row. The numbers in the first column appear to be increasing by increments of 2 (e.g., 8, 10, x, y), while the numbers in the second column are increasing by increments of 12 (e.g., 48, 60, 72, 84).

Let's express the relationship between the first column (let's denote it \( a \)) and the second column (denote it \( b \)):

1. For \( 8 \) and \( 48 \), the ratio \( \frac{b}{a} = \frac{48}{8} = 6 \).
2. For \( 10 \) and \( 60 \), the ratio \( \frac{b}{a} = \frac{60}{10} = 6 \).
3. For \( x \) and \( 72 \), let’s assume \( x \) follows the same ratio:
\[
\frac{72}{x} = 6 \implies 72 = 6x \implies x = \frac{72}{6} = 12.
\]
4. For \( y \) and \( 84 \):
\[
\frac{84}{y} = 6 \implies 84 = 6y \implies y = \frac{84}{6} = 14.
\]

So we found:
- \( x = 12 \)
- \( y = 14 \)

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

The answer is **12; 14**.