Paul has decided to raise rabbits. He has been warned that the number of rabbits will double every month. He started with 3 rabbits, and the function y=3(2^x) models the number of rabbits he will have after x months.

How many rabbits will paul have after 8 months?

384 rabbits after 8 months

thank you!

Eddie's answer is not correct

after 8 months, x = 8
y = 3(2^8)
= 3(256)
= 768

or:
3 6 12 24 48 96 192 384 768

now: 3
after 1 month -- 6 ---> 3(2^1)
after 2 months -- 12 --> 3(2^2)
...
after 8 months -- 768 = 3(2^8)

To find how many rabbits Paul will have after 8 months, we can substitute x = 8 into the function y = 3(2^x) and calculate the result.

Step 1: Start with the given function y = 3(2^x).
Step 2: Substitute x = 8 into the function: y = 3(2^8).
Step 3: Evaluate 2^8: 2^8 = 256.
Step 4: Multiply 3 by 256: y = 3 * 256.
Step 5: Calculate the result: y = 768.

Therefore, Paul will have 768 rabbits after 8 months.