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: (its a graph with 2 points, (4, 10) and (2, 6))
Linear Function ___ has a greater rate of change
To determine which linear function has the greater rate of change, we can calculate the slope of each function.
For Linear Function 1 (y = x + 8), the slope is 1. This means that for every 1 unit increase in x, there is a 1 unit increase in y.
For Linear Function 2, we can calculate the slope using the two given points (4,10) and (2,6):
slope = (change in y) / (change in x)
slope = (10-6) / (4-2) = 4/2 = 2
This means that for every 1 unit increase in x, there is a 2 unit increase in y.
Since the slope of Linear Function 2 is greater than the slope of Linear Function 1, we can conclude that Linear Function 2 has the greater rate of change. Therefore, the answer to the question is Linear Function 2.