Question

Use the table to find the relationship between the two quantities.

A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44.

What relationship between the quantities is shown in the table?
The relationship between quantities is +10.
The relationship between quantities is ×11.
The relationship between quantities is – 30.
The relationship between quantities is + 20.

Answer 1

To determine the relationship between the two quantities (x and y) in the table, we can observe the values:

- When \( x = 1 \), \( y = 11 \)
- When \( x = 2 \), \( y = 22 \)
- When \( x = 3 \), \( y = 33 \)
- When \( x = 4 \), \( y = 44 \)

We can see that as \( x \) increases, \( y \) increases in a consistent manner. Specifically:

- For \( x = 1 \), \( y = 11 \) which is \( 1 \times 11 \)
- For \( x = 2 \), \( y = 22 \) which is \( 2 \times 11 \)
- For \( x = 3 \), \( y = 33 \) which is \( 3 \times 11 \)
- For \( x = 4 \), \( y = 44 \) which is \( 4 \times 11 \)

From this, we can see that \( y \) is consistently equal to \( x \times 11 \).

Thus, the correct answer is: **The relationship between quantities is ×11.**