Please, find attached the picture with the table of teh function B corresponding to the question.
Answer:
- The rate of change of function B: 3
- The rate of change of function L: 6
- The rate of change of the function L is greater
Explanation:
1. Rate of change of function B
The rate of change can be determined with any two ordered pairs using the formula:
- rate of change = rise / run = Δy / Δx
Let's use the points (1,5) and (3,11):
- rate of change = (11 - 5) / (3 - 1) = 6 / 2 = 3
Hence the rate of change is 3.
2. Rate of change of function L
The rate of change of a linear function, which y = 6x + 4 is, is the slope of the line.
You may recognize the slope, when the function is represented with the slope-intercetp form.
The slope-intercept form has the general equation y = mx + b, where m is the slope and b is the y-intercept.
Hence, by comparison, the slope of the function y = 6x + 4 is m = 6.
In conclusion, the rate of change of the function L is 6.
Therefore, since 6 > 3, the rate of change of the function L is greater than the rate of change of the function B.
