A group consisting of 23 aggressive zombies triples in size every hour. Which equation matches the number of zombies after 2 hours? Z=23(3)^(2) Z=3(1+23)^(2) Z=23(1+3)^(2) Z=3(23)(23)

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A group consisting of 23 aggressive zombies triples in size every hour. Which equation matches the number of zombies after 2 hours?  Z=23(3)^(2)  Z=3(1+23)^(2)  Z=23(1+3)^(2)  Z=3(23)(23)

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Understand the problem: Understand the problem. We need to find the equation that correctly represents the number of zombies after 2 hours, given that the initial number of zombies is 23 and the population triples every hour.Determine base number and rate: Determine the base number of zombies and the rate of growth. The base number of zombies is 23, and the rate of growth is tripling every hour, which is a multiplication by 3.Apply exponential growth formula: Apply the exponential growth formula. The general formula for exponential growth is Initial Population * Growth Rate^(Time Period). In this case, the Initial Population is 23, the Growth Rate is 3, and the Time Period is 2 hours.Plug values into formula: Plug the values into the formula to get the equation. Z = 23 * 3^(2)Evaluate options: Evaluate the options given in the problem to see which one matches our equation. Option A: Z = 23(3)^(2) matches our equation from Step 4. Option B: Z = 3(1+23)^(2) does not match because it suggests adding 1 to 23 before raising to the power of 2. Option C: Z = 23(1+3)^(2) does not match because it suggests adding 1 to 3 before squaring, which is not the correct growth rate. Option D: Z = 3(23)(23) does not match because it suggests multiplying 23 by itself, which is not the correct growth pattern.

A group consisting of $23$ aggressive zombies triples in size every hour. Which equation matches the number of zombies after $2$ hours? $\newline$ $Z=23(3)^{2}$ $\newline$ $Z=3(1+23)^{2}$ $\newline$ $Z=23(1+3)^{2}$ $\newline$ $Z=3(23)(23)$

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