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Scientists released 6 rabbits into a new habitat in year 0. Each year, there were four times as many rabbits as the year before. How many rabbits were there after x years? Write a function to represent this scenario.

A. f(x) = 6(x)^4
B. f(x) = 4(6)^x
C. f(x) = 4(x)^6
D. f(x) = 6(4)^x

User Chris Voss
by
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2 Answers

6 votes

Answer:

D

Explanation:

User Probosckie
by
8.5k points
3 votes

Answer: Option 'D' is correct.

Explanation:

Since we have given that

Initial population of rabbits = A = 6

Each year, there were 4 times as many rabbits as the year before.

i.e. b = 4

Let the number of years be x.

So, our required equation will be


f(x)=Ab^x=6(4)^x

Hence, Option 'D' is correct.

User Aneurinc
by
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