Question

• Linear Function 1:
• Linear Function 2:
zy
02
5 42
y
13-
12-
(2,12)
11-
10-
9-
(1,9)
8-
7-
67
5
4-
3-
2
1
0-
x
*
-1 0 -11
1 2 3 4
Use the image to answer the question.



Compare Linear Function 1 with Linear Function 2. Which one has the greater rate of change?

(1 point)
Responses

Linear Function 1 has the greater rate of change, with a rate of change equal to 3 while Linear Function 2 has a rate of change equal to 2.
Linear Function 1 has the greater rate of change, with a rate of change equal to 3 while Linear Function 2 has a rate of change equal to 2.

Linear Function 2 has the greater rate of change, with a rate of change equal to 8 while Linear Function 1 has a rate of change equal to 6.
Linear Function 2 has the greater rate of change, with a rate of change equal to 8 while Linear Function 1 has a rate of change equal to 6.

Linear Function 2 has the greater rate of change, with a rate of change equal to 8 while Linear Function 1 has a rate of change equal to 3.
Linear Function 2 has the greater rate of change, with a rate of change equal to 8 while Linear Function 1 has a rate of change equal to 3.

Linear Function 1 has the greater rate of change, with a rate of change equal to 6 while Linear Function 2 has a rate of change equal to 2.

Answer 1

Linear Function 1 has the greater rate of change.

Compute slopes (rate of change = rise/run):

- Linear Function 1: using (1, 9) and (2, 12): slope = (12 − 9)/(2 − 1) = 3.
- Linear Function 2: using two points on that line (for example (0, 7) and (2, 11)): slope = (11 − 7)/(2 − 0) = 2.

So Function 1 has rate 3, Function 2 has rate 2.