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Scientists released 8 rabbits into a new habitat in year 0. Each year, there were twice as many rabbits as the year before. How many rabbits were there after x years? Write a function to represent this scenario.

User Yanil
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2 Answers

4 votes

Answer:

f(x)=8(2)^x

Explanation:

User Nfinity
by
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6 votes

Answer:

The function to represent the increasing number of rabbits per yer is
f(x)=8*2^(x)

Solution:

The number of rabbits released each year is 8.

During 0 year, there will be 8 rabbits;

During year 1, the number of rabbits will be
8+8=16 (or)
8* 2 = 16

Similarly, during the year 2, the number of rabbits will be
16+16=32 or
16* 2 = 32

So, according to the pattern we can conclude that the function would be


f(x)=8*2^(x)

where x is the number of years.

On year 4, the total number of rabbits will be
f(4)=8*2^(4) = 128

User Steve Czetty
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