For this case we have the following equation:

Step 1 of the solution is to make the distributive property.
We have then:

Step 1 is correct.
The step is to combine similar terms. Caleb wrote:

He wrongly combined the similar terms on the right side of the equation.
The correct solution is:
Answer: In step 2, the like terms were not combined on the right side of the equation.
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Answer:
P(t) = 27000 * (1/9)^(t/4)
Step-by-step explanation:
This problem can me modelled with an exponencial formula:
P = Po * (1+r)^t
Where P is the final value, Po is the inicial value, r is the rate and t is the amount of time.
In this problem, we have that the inicial population/value is 27000, the rate is -8/9 (negative because the population decays), and the time t is in months, so as the rate is for every 4 months, we use the value (t/4) in the exponencial.
So, our function will be:
P(t) = 27000 * (1-8/9)^(t/4)
P(t) = 27000 * (1/9)^(t/4)