To determine the rate of change for each linear function, we can compare the change in y-values to the corresponding change in x-values.
For Linear Function 1: y = 7x + 4, let's compare the change from x = 10 to x = 12:
- For x = 10, y = 7(10) + 4 = 74
- For x = 12, y = 7(12) + 4 = 88
The change in y-values is 88 - 74 = 14, while the change in x-values is 12 - 10 = 2.
Therefore, the rate of change for Linear Function 1 is 14/2 = 7.
For Linear Function 2, given the data points (10, 61) and (12, 73), the change in y-values is 73 - 61 = 12, and the change in x-values is 12 - 10 = 2.
Therefore, the rate of change for Linear Function 2 is 12/2 = 6.
Comparing the rates of change, Linear Function 1 has a greater rate of change (7) compared to Linear Function 2 (6).
Compare Linear Function 1 with Linear Function 2. Which one has the greater rate of change?
Linear Function 1: y=7x+4
Linear Function 2:
x y
10 61
12 73(1 point)
1 answer