Question
A group consisting of 42 aggressive zombies triples in size every hour. Which equation matches the number of zombies after 2 hours?
Answer
Attempt 1 out of 3
Multiple Choice Answers
Z, equals, 42, left parenthesis, 1, plus, 3, right parenthesis, squaredZ=42(1+3)
2
Z, equals, 42, left parenthesis, 3, right parenthesisZ=42(3)
Z, equals, 3, left parenthesis, 42, right parenthesis, left parenthesis, 42, right parenthesisZ=3(42)(42)
Z, equals, 42, left parenthesis, 3, right parenthesis, left parenthesis, 3, right parenthesisZ=42(3)(3)
Answer
Attempt 1 out of 3
Multiple Choice Answers
Z, equals, 42, left parenthesis, 1, plus, 3, right parenthesis, squaredZ=42(1+3)
2
Z, equals, 42, left parenthesis, 3, right parenthesisZ=42(3)
Z, equals, 3, left parenthesis, 42, right parenthesis, left parenthesis, 42, right parenthesisZ=3(42)(42)
Z, equals, 42, left parenthesis, 3, right parenthesis, left parenthesis, 3, right parenthesisZ=42(3)(3)
Answers
GPT-4o mini
To determine the number of zombies after 2 hours given that the group triples every hour, we can analyze the situation step-by-step.
Initially, we start with 42 zombies. After each hour, the number of zombies triples:
1. After 1 hour:
\[
Z = 42 \times 3 = 126
\]
2. After 2 hours:
\[
Z = 126 \times 3 = 378
\]
Alternatively, we can represent the growth over the hours using a formula. If the number of zombies triples every hour, the equation can be expressed as follows:
- After \( t \) hours, the number of zombies \( Z \) is given by:
\[
Z = 42 \times 3^t
\]
For \( t = 2 \) (after 2 hours):
\[
Z = 42 \times 3^2 = 42 \times 9 = 378
\]
From the options given:
- **Z = 42(3)(3)** matches our growth over 2 hours, as it can be simplified to \( Z = 42 \times 3^2 \).
Thus, the correct equation that matches the number of zombies after 2 hours is:
**Z = 42(3)(3)**.
Initially, we start with 42 zombies. After each hour, the number of zombies triples:
1. After 1 hour:
\[
Z = 42 \times 3 = 126
\]
2. After 2 hours:
\[
Z = 126 \times 3 = 378
\]
Alternatively, we can represent the growth over the hours using a formula. If the number of zombies triples every hour, the equation can be expressed as follows:
- After \( t \) hours, the number of zombies \( Z \) is given by:
\[
Z = 42 \times 3^t
\]
For \( t = 2 \) (after 2 hours):
\[
Z = 42 \times 3^2 = 42 \times 9 = 378
\]
From the options given:
- **Z = 42(3)(3)** matches our growth over 2 hours, as it can be simplified to \( Z = 42 \times 3^2 \).
Thus, the correct equation that matches the number of zombies after 2 hours is:
**Z = 42(3)(3)**.