A group consisting of 21 aggressive zombies triples in size every hour. Which equation matches the number of zombies after 4 hours?Z=21(3)4Z=3(21)4Z=3(21)(21)(21)(21)Z=21(3)(3)
Q. A group consisting of 21 aggressive zombies triples in size every hour. Which equation matches the number of zombies after 4 hours?Z=21(3)4Z=3(21)4Z=3(21)(21)(21)(21)Z=21(3)(3)
Calculate Growth Rate: We need to find the number of zombies after 4 hours, given that the initial number of zombies is 21 and the population triples every hour. The formula to calculate the number of zombies after a certain number of hours when the population is tripling every hour is:Z=initial number of zombies×(growth rate)number of hoursIn this case, the initial number of zombies is 21, the growth rate is 3 (since the population triples), and the number of hours is 4.So the equation that matches the number of zombies after 4 hours is:Z=21×(3)4
Calculate Exponential Value: Now we calculate the value of 3 raised to the power of 4. 34=3×3×3×334=81
Find Total Zombies: Next, we multiply the initial number of zombies, 21, by 81 to find the total number of zombies after 4 hours.Z=21×81Z=1701