plz help algebra 1

Park rangers released 4 fish into a pond in year 0. Each year, there were three times as many fish as the year before. How many fish were there after x years? Write a function to represent this scenario. A. f(x) = 4(x)3 B. f(x) = 3(x)4 C. f(x) = 3(4)x D. f(x) = 4(3)x

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melyc9091 melyc9091 · Answer 1 · 2017-07-11T20:17:22+02:00

f(x)=4(3) with an exponent of x on the top.

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parmesanchilliwack parmesanchilliwack · Answer 2 · 2019-01-24T13:44:39+01:00

Answer: [tex]f(x) = 4(3)^x[/tex]

Step-by-step explanation:

Let the function that shows the given situation is,

[tex]f(x) = a(b)^x[/tex]

Where x is the number of years.

Initially, x = 0,

[tex]f(0) = a(b)^0 = a[/tex]

According to question f(0) = 4

Thus, a = 4

Since, each year the number of fish is increased by 3 times,

That is, for x = 1, f(1) = 12

But, [tex]f(1) = a(b)^1[/tex]

⇒ [tex]12 = 4(b)^1[/tex]

⇒ b = 3

By putting the values of a and b in the above function,

We get, [tex]f(x) = 4(3)^x[/tex]

Which is the required function that shows the given situation.

⇒ Option D is correct.