Using proportions, it is found that the differential equation which describes the growth of the pigeon population is given by:

<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, considering the initial population and the population one week later, the rate of growth is given by:
k = 9/6 = 1.5.
The standard differential equation for population growth is:

Hence:

More can be learned about proportions at brainly.com/question/24372153
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<u>Answer</u>
x ≥ -2
<u>Explanation</u>
The inequalities are solve the same way as algebra. This would be solve as follows.
-2x-1≤5
-2x≤5+1
-2x≤4
Divide both sides of the inequality by -2. This will change the sign from ≤ to ≥.
(-2x)/(-2) ≤ 4/(-2)
x ≥ -2
Rational, or integer. I am not sure sorry
In order to solve this problem, the first thing we are going to do is find out how much is 9% of 1000, since 9% is the interest per year. So 0.09 x 1000 and that would be 90. And since the interest earned is added to the account, the account will now have a total of $1090 which is now the new principal. Based on this new principal, we need to know the 9% of it again to know how much interest in earned in the following year. So that would be 0.09 x 1090 and the result is $98.10. Hope this answer helps.