A teacher is correcting a student's homework assignment, but she cannot read one line of the
student's work. The student's work is shown
below, with a blank space representing the
missing line.
Step 1:
- 2x + 11 = -5
Step 2: -2x + 11 – 11 = -5 – 11
Step 3:
-2x = -16
Step 4:
Step 5:
1x = 8
Step 6:
x= 8
Which of the following represents the correct
Step 4 and the property that would be used to
justify the step?

Answer without Explanation:

B

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).