Use the table to answer the question.

5 10 15 20
10 20 y
40
Find the missing value in the table.

(1 point)

1 answer

To solve for the missing value \( y \) in the given table, we first need to identify a pattern or rule that connects the numbers.

The table has the following structure:

5   10   15   20
10  20   y
    40

Let's assess the columns:

  1. The first column contains \( 5 \) and \( 10 \).
  2. The second column contains \( 10 \) and \( 20 \).
  3. The third column contains \( 15 \) and \( y \).
  4. The fourth column is \( 20 \) and \( 40 \).

Looking at the relationships:

  • In the first column, \( 10 \) is double \( 5 \).
  • In the second column, \( 20 \) is double \( 10 \).
  • In the fourth column, \( 40 \) is double \( 20 \).

It seems like each number in the second row is double the corresponding number in the first row. Thus, we can apply this pattern to \( 15 \) in the third column:

If we set up the equation based on the observed pattern: \[ y = 15 \times 2 \]

Calculating that gives: \[ y = 30 \]

Thus, the missing value \( y \) in the table is 30.