Duplicate Question
The question on this page has been marked as a duplicate question.
Original 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 17Question
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
1 seventh
x y
1 12
2 19
3 26
4 33
5 40
6 47
(1 point)
Responses
12
12
-12
-12
7
7
17
1 seventh
Answers
GPT-4o mini
To find the rate of change of the values in the table, we can calculate the difference in the \(y\) values divided by the difference in the \(x\) values between consecutive points.
Let's calculate this step-by-step:
1. From \(x = 1\) to \(x = 2\):
\[
\frac{19 - 12}{2 - 1} = \frac{7}{1} = 7
\]
2. From \(x = 2\) to \(x = 3\):
\[
\frac{26 - 19}{3 - 2} = \frac{7}{1} = 7
\]
3. From \(x = 3\) to \(x = 4\):
\[
\frac{33 - 26}{4 - 3} = \frac{7}{1} = 7
\]
4. From \(x = 4\) to \(x = 5\):
\[
\frac{40 - 33}{5 - 4} = \frac{7}{1} = 7
\]
5. From \(x = 5\) to \(x = 6\):
\[
\frac{47 - 40}{6 - 5} = \frac{7}{1} = 7
\]
The rate of change between each consecutive point is consistently \(7\).
Thus, the rate of change is:
**7**
Let's calculate this step-by-step:
1. From \(x = 1\) to \(x = 2\):
\[
\frac{19 - 12}{2 - 1} = \frac{7}{1} = 7
\]
2. From \(x = 2\) to \(x = 3\):
\[
\frac{26 - 19}{3 - 2} = \frac{7}{1} = 7
\]
3. From \(x = 3\) to \(x = 4\):
\[
\frac{33 - 26}{4 - 3} = \frac{7}{1} = 7
\]
4. From \(x = 4\) to \(x = 5\):
\[
\frac{40 - 33}{5 - 4} = \frac{7}{1} = 7
\]
5. From \(x = 5\) to \(x = 6\):
\[
\frac{47 - 40}{6 - 5} = \frac{7}{1} = 7
\]
The rate of change between each consecutive point is consistently \(7\).
Thus, the rate of change is:
**7**