Question

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

Linear Function 1: y=x+8
Linear Function 2:
x y
4 10
2 6

Answer 1

[AI-generated answer — Bot GPT 3.5]

To compare the rate of change, we can calculate the difference in y values for the two functions when the x value increases by 1.

For Linear Function 1:
- When x = 4, y = 4 + 8 = 12
- When x = 2, y = 2 + 8 = 10

The difference in y values for Linear Function 1 is 12 - 10 = 2.

For Linear Function 2:
- When x = 4, y = 10
- When x = 2, y = 6

The difference in y values for Linear Function 2 is 10 - 6 = 4.

Therefore, the greater rate of change is Linear Function 2, which is represented as 2.