Question

What is the rate of change of the table below?

x y
1 12
2 19
3 26
4 33
5 40
6 47


(1 point)
Responses

-12
-12

12
12

7
7

17

Answer 1

To find the rate of change of the values in the table, we can look at how much \( y \) changes as \( x \) increases. The rate of change is calculated as the change in \( y \) divided by the change in \( x \).

From the table:

- When \( x \) changes from 1 to 2, \( y \) changes from 12 to 19, which is a change of \( 19 - 12 = 7 \).
- When \( x \) changes from 2 to 3, \( y \) changes from 19 to 26, which is again \( 26 - 19 = 7 \).
- When \( x \) changes from 3 to 4, \( y \) changes from 26 to 33, which is \( 33 - 26 = 7 \).
- When \( x \) changes from 4 to 5, \( y \) changes from 33 to 40, which is \( 40 - 33 = 7 \).
- When \( x \) changes from 5 to 6, \( y \) changes from 40 to 47, which is \( 47 - 40 = 7 \).

The change in \( y \) is consistently 7 for each unit increase in \( x \).

Therefore, the rate of change is 7.

The correct response is:

7