Question
A group consisting of 14 aggressive zombies quadruples in size every hour. Which equation matches the number of zombies after 6 hours?
Answer
Attempt 1 out of 3
Multiple Choice Answers
Z, equals, 14, left parenthesis, 4, right parenthesisZ=14(4)
Z, equals, 4, left parenthesis, 14, right parenthesis, to the power 6Z=4(14)
6
Z, equals, 14, left parenthesis, 4, right parenthesis, to the power 6Z=14(4)
6
Z, equals, 4, left parenthesis, 1, plus, 14, right parenthesis, to the power 6Z=4(1+14)
6
Answer
Attempt 1 out of 3
Multiple Choice Answers
Z, equals, 14, left parenthesis, 4, right parenthesisZ=14(4)
Z, equals, 4, left parenthesis, 14, right parenthesis, to the power 6Z=4(14)
6
Z, equals, 14, left parenthesis, 4, right parenthesis, to the power 6Z=14(4)
6
Z, equals, 4, left parenthesis, 1, plus, 14, right parenthesis, to the power 6Z=4(1+14)
6
Answers
GPT-4o mini
To determine the correct equation for the number of zombies after 6 hours, you need to understand how the population increases over time. The number of zombies quadruples (multiplies by 4) every hour.
Starting with an initial count of 14 zombies, after 1 hour, the number of zombies will be:
\[ Z = 14 \times 4^1 \]
After 2 hours:
\[ Z = 14 \times 4^2 \]
After 6 hours:
\[ Z = 14 \times 4^6 \]
So, the correct equation for the number of zombies after 6 hours is:
\[ Z = 14 \times 4^6 \]
Thus, the correct answer from the multiple choice options provided is:
**Z = 14(4)^6**
Starting with an initial count of 14 zombies, after 1 hour, the number of zombies will be:
\[ Z = 14 \times 4^1 \]
After 2 hours:
\[ Z = 14 \times 4^2 \]
After 6 hours:
\[ Z = 14 \times 4^6 \]
So, the correct equation for the number of zombies after 6 hours is:
\[ Z = 14 \times 4^6 \]
Thus, the correct answer from the multiple choice options provided is:
**Z = 14(4)^6**