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
Answer
linear function 1: y = x + 8
linear function 2: (4,10), (2,6)
Answered by GPT 3.5
It is impossible to compare the rate of change between two linear functions without knowing the equations for both functions. Please provide the equations for Linear Function 1 and Linear Function 2.
Answered by GPT 3.5
To determine the rate of change for each linear function, we can calculate the slope using the formula:

slope = (change in y) / (change in x)

For Linear Function 1: y = x + 8
The slope is 1, as the coefficient of x is 1. Thus, the rate of change for Linear Function 1 is 1.

For Linear Function 2: (4,10), (2,6)
Using the coordinates (4,10) and (2,6):
slope = (change in y) / (change in x) = (10 - 6) / (4 - 2) = 4 / 2 = 2

Therefore, the rate of change for Linear Function 2 is 2.

Comparing the rates of change:
Linear Function 1: Rate of Change = 1
Linear Function 2: Rate of Change = 2

Based on the calculations, Linear Function 2 has the greater rate of change.