Answer:
(B) 
Step-by-step explanation:
we can use formula

where
Po is the initial population
r is the growth rate
t is the time in months
We are given
initial population of insects
so, Po=6
The scientists find that the insect population, x, is growing exponentially 20% per month
so, r=0.20
now, we can plug these values

there to be a population of 477 insects
so, P(t)=477
now, we plug it
and we get

This is false because on 2) x does not equal 3.
Step-by-step answer:
If one is constrained to move to the right, or up, or diagonally upwards (i.e. remain in the first quadrant), then
there are three choices at A.
At the next position, whichever path one has taken, there are also three choices.
At the following position, there are no more choices.
Therefore, there are 3*3 = 9 different paths.