We are given functions:
y=5/2 x +10
y=-1/2 x +1/2
y=3/2 x -11/2
y=1/2 x -2
y=4/3 x -7/3
y=3/4 x -10.
We need to find least to greatest rate of change.
The slope of a function is the rate of change of a function.
If we compare given function from the slope-intercept form y=mx+b, we get the following slopes:
5/2, -1/2, 3/2, 1/2, 4/3, 3/4.
Now, let us write those rate of changes(slopes) from least to greatest:
-1/2, 1/2, 3/4, 4/3, 3/2, 5/2.
So, we can arrange the functions from least to greatest rate of changes as following:
y=-1/2 x +1/2 ,
y=1/2 x -2,
y=3/4 x -10,
y=4/3 x -7/3,
y=3/2 x -11/2,
y=5/2 x +10.
