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Kevin is observing the population of the fish he put into a pond. He built a pond and populated it with 500 fish. The population of the fish doubles every year.

Use x to represent the number of years and y to represent the population of the fish.

Respuesta :

Riia

Here we will use exponential form, which is

[tex] y = y_{0} e^{kt} [/tex]

Initial value, y0 = 500

Double of 500 = 1000

[tex] 1000 = 500e^{k*1} [/tex]

[tex] 2 = e^k [/tex]

[tex] k= ln (2) [/tex]

Required equation is

[tex] y=500e^{x ln2}
\\
y= 500 (2)^x [/tex]

Answer:

y = 500[tex](2)^{x}[/tex]

Step-by-step explanation:

just took the test :D

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