Question

a group consisting of 6 aggressive zombies quadruples in size every hour. which equatio matches the number of zombies after 4 hours? answer \\( z = 4(6)^4 \\) \\( z = 6(4)(4) \\) \\( z = 6(4)(4)(4)(4) \\) \\( z = 6(1 + 4)^4 \\)

Explanation:

Step1: Identify initial & growth factor

Initial zombies: $6$, hourly growth factor: $4$

Step2: Model exponential growth

After $t$ hours, number of zombies: $Z = 6 \times 4^t$

Step3: Substitute $t=4$

$4^4 = 4\times4\times4\times4$, so $Z = 6(4)(4)(4)(4)$

Answer:

$Z = 6(4)(4)(4)(4)$