The function f(x)=400(1.5)x models an insect population after x months.

how does the average rate of change between months 2 and 4 compare to the average rate of change between months 0 and 2?

a the average rate of change is 3.125 times as fast.

b the average rate of change is 2 times as fast.

c the average rate of change is 1.5 times as fast.

d the average rate of change is 2.25 times as fast.

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

the monthly balance will be $75,000