Answer:

Step-by-step explanation:
<u>Solving Equations</u>
We have the expression:

And it's required to make y the subject.
It can be done by isolating y on the left side of the equation and the rest of the expression on the right side.
The first step is removing the denominator by multiplying both sides by y-3:

Simplifying the right side:

Remove the parentheses:

Move the y's to the left side and the rest of the expression to the right side:

Factor out y:

Divide by x-1:

Answer:
1) The size of the colony after 4 days is 6553 mosquitoes
2) After
Step-by-step explanation:
To answer this question you must use the growth formula

Where
is the initial population of mosquitoes = 1000
t is the time in days
k is the growth rate
N is the population according to the number of days
We know that when t = 1 and
then N = 1600
Then we use these values to find k.

Now that we know k we can find the size of the colony after 4 days.

To know how long it should take for the population to reach 10,000 mosquitoes we must do N = 10000 and solve for t.

The answer is 10 ..............................