Question

Use the table to answer the question.

Data Table 3

x y
6 10
12 20
24 40
48 80
What is the pattern between the quantities in the table?

The pattern between the quantities is
.

Answer 1

The pattern between the quantities in the table shows that as \( x \) doubles, \( y \) also doubles.

Here’s a breakdown of the relationship:
- When \( x = 6 \), \( y = 10 \)
- When \( x = 12 \), \( y = 20 \) (which is double the y value when \( x = 6 \))
- When \( x = 24 \), \( y = 40 \) (which is double the y value when \( x = 12 \))
- When \( x = 48 \), \( y = 80 \) (which is double the y value when \( x = 24 \))

Thus, the pattern can be described as: "The value of \( y \) is \( \frac{5}{3} \) times the value of \( x \)."

Alternatively, it can be said that "As \( x \) doubles, \( y \) also doubles."