Question

P (x) = 90(1 + 1.5x) / 1 + 0.5x

P = number of fish
x = number of months since the fish were placed in the aquarium

Six months after the fish are first placed in the aquarium, what is the total number of fish?

Answer 1

I'm guessing it should look like this


\[\Large P(x) = \frac{90(1+1.5x)}{1+0.5x}\]

Answer 2

yes
I need to find out how many fish after 1 month, then 3 months, then 6 months and then 12 month

Answer 3

You do the same for x = 3 months, x = 6 months and x = 12 months (12 months = 1 yr)

Answer 4

oops made a typo, should be 150 exactly, let me fix it

Answer 5

\[\Large P(x) = \frac{90(1+1.5x)}{1+0.5x}\]


\[\Large P(1) = \frac{90(1+1.5*1)}{1+0.5*1}\]


\[\Large P(1) = \frac{90(1+1.5)}{1+0.5}\]


\[\Large P(1) = \frac{90(2.5)}{1.5}\]


\[\Large P(1) = \frac{225}{1.5}\]


\[\Large P(1) = 150\]


So after one month, there are 150 fish in the aquarium.