Answer:
B) Z = 5(4)^8
Explanation:
To determine the equation that matches the number of zombies after 8 hours, let's analyze the given information.
The initial group consists of 5 aggressive zombies, and their size quadruples every hour. This means that for each hour that passes, the number of zombies becomes four times larger.
After 1 hour: 5 zombies * 4 = 20 zombies
After 2 hours: 20 zombies * 4 = 80 zombies
After 3 hours: 80 zombies * 4 = 320 zombies
After 4 hours: 320 zombies * 4 = 1280 zombies
After 5 hours: 1280 zombies * 4 = 5120 zombies
After 6 hours: 5120 zombies * 4 = 20480 zombies
After 7 hours: 20480 zombies * 4 = 81920 zombies
After 8 hours: 81920 zombies * 4 = 327680 zombies
By observing the pattern, we can see that the number of zombies is multiplying by 4 every hour.
Among the given options, the equation that matches the number of zombies after 8 hours is:
B) Z = 5(4)^8
Using this equation, when we substitute 8 for the exponent, we get:
Z = 5(4^8) = 5(65536) = 327680
Therefore, the number of zombies after 8 hours is 327680.