Answer:
This is a simple Arithmetic Progression question, and we will use the formula:
Step-by-step explanation:
From the question, we started with 1,000 mosquitoes, this is the first term ().
The next term is 1,200.
This means that the Common Difference () is:
1,200 - 1,000 = 200.
The term (
) we are looking for is 22.
So we have:
= 1,000
= 22
= 200
We solve as follows:
= 1,000 + (22-1)200
= 1,000 + (21)200
= 1,000 + 4,200
= 5,200.
So therefore, after 22 days, the number of mosquitoes in the colony will be 5,200 mosquitoes.
For the other question, we will use the value 40,000 mosquitoes.
We solve thus;
since it took 22 days to get to 5,200 mosquitoes, it will therefore take days to get 40,000 mosquitoes
22 days = 5,200 mosquitoes
days = 40,000 mosquitoes
we cross multiply thus:
22 x 40,000 = 5,200 x
880,000 = 5,200
making the subject, we have:
=
= 169
Therefore, it will take 169 days to get 40,000 mosquitoes.