Three functions are shown.
The graph titled function A has a line passing through the points (0, 2) and (6, 7).
Function B
x 0 2 4 6
y 2.50 4.03 5.56 7.09
Function C
Drag the functions to order them from LEAST to GREATEST rate of change.
To determine the rate of change for each function, we need to find the change in the y-values divided by the change in the x-values for each pair of points.
For Function A, we can calculate the rate of change between the points (0, 2) and (6, 7):
Rate of change for Function A = (7 - 2) / (6 - 0) = 5 / 6
For Function B, the x and y-values are given. We can calculate the rate of change between the points (0, 2.50) and (6, 7.09):
Rate of change for Function B = (7.09 - 2.50) / (6 - 0) = 4.59 / 6 = 0.765
For Function C, we don't have specific points, so it's not possible to determine the rate of change.
Comparing the rates of change we calculated, we can order the functions based on their rates from least to greatest:
Function C (unknown rate of change) < Function B (rate of change = 0.765) < Function A (rate of change = 5/6 or approximately 0.833)
So the correct order is: Function C < Function B < Function A