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 6 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 6 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 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 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.
Remaining Attempts : 3

Answer 1

To determine which linear function has a greater rate of change, we need to compare the rates of change (slopes) of Linear Function 1 and Linear Function 2.

Given the provided options:
- Linear Function 1 has a rate of change equal to 6 while Linear Function 2 has a rate of change equal to 2.
- Linear Function 2 has a rate of change equal to 8 while Linear Function 1 has a rate of change equal to 6.
- Linear Function 1 has a rate of change equal to 3 while Linear Function 2 has a rate of change equal to 2.
- Linear Function 2 has a rate of change equal to 8 while Linear Function 1 has a rate of change equal to 3.

Based on the rates of change mentioned:

1. The first option states that Linear Function 1 has a greater rate of change (6) compared to Linear Function 2 (2).
2. The second option states that Linear Function 2 (8) has a greater rate than Linear Function 1 (6).
3. The third option says Linear Function 1 (3) has a greater rate than Linear Function 2 (2).
4. The fourth option states that Linear Function 2 (8) has a greater rate than Linear Function 1 (3).

From this, it's clear that the options comparing the rates of change point towards two possibilities:
- If we compare the first set (6 vs 2) and the third set (3 vs 2), Linear Function 1 has the greater rate in both cases.
- But in the second and fourth options, Linear Function 2 has a greater rate (8 vs 6) and (8 vs 3).

To summarize, if **Linear Function 1** has a rate of change of **6** and **Linear Function 2** has a rate of change of **2**, then the correct conclusion would be:

**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.**

Thus, the appropriate choice based on the highest rate of change scenarios given would be the first response.