The function f(x)=400(1.5)x models an insect population after x months. how does the average rate of change between month 2 and month 4 compare to the average rate of change between month 0 and month 2? the average rate of change is 3.125 times as fast. the average rate of change is 2 times as fast. the average rate of change is 2.25 times as fast. the average rate of change is 1.5 times as fast.

The Answer is 2.25

Option B is correct option.

Step-by-step explanation:

We need to solve the inequality:  7 − 9x − (x + 12) less than or equal to 25

Solving:

Add 5 on both sides:

Divide both sides by -10 and reverse the inequality:

The number line is shown in figure attached.

Option A is correct.

Option B is incorrect because x cannot be less than -3

Option C is correct because  −3 less than or equal to x is -3 ≤ can be written as: x≥-3

Option D is correct because when x is greater than or equal to the circle is closed and greater values are on right side of the number line.

So, Option B is correct.