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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1 answer

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 \(y\).

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

  2. 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

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