A solution to the inequality 3.75 – 3x ≤ 6.

x ≥ -0.75

Step-by-step explanation:

3.75 - 3x ≤ 6

Subtract 3.75 on both sides.

- 3x ≤ 6 - 3.75

- 3x ≤ 2.25

Divide both sides with -3.

x ≥ 2.25/-3

x ≥ -0.75

  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).