Which of the following best describes how the y values are changing over each interval?

Question

x
y
1
4
2
8
3
12
4
16
5
20

They are increasing by 4 each time.
They are increasing by 6 each time.
They are being multiplied by 2 each time.
They are being multiplied by 4 each time.

Answer 1

To determine how the y values are changing over each interval, we can look at the differences between consecutive y values:

• From 4 to 8: \( 8 - 4 = 4 \)
• From 8 to 12: \( 12 - 8 = 4 \)
• From 12 to 16: \( 16 - 12 = 4 \)
• From 16 to 20: \( 20 - 16 = 4 \)

In each case, the y values are increasing by 4.

Therefore, the best description of how the y values are changing over each interval is: They are increasing by 4 each time.