Question

a group of biologists tracked mice in a forest. they wrote the equation (n = 75cdot3^{t}).

• (n) is the total number of mice.
• (t) is the years since the biologists counted

how many mice do the biologists predict will be in the forest after 4 years?

Explanation:

Step1: Substitute t value

Given the formula $n = 75\times3^{t}$, and $t = 4$. Substitute $t = 4$ into the formula: $n=75\times3^{4}$.

Step2: Calculate exponent

First, calculate $3^{4}=3\times3\times3\times3 = 81$.

Step3: Calculate final result

Then, calculate $75\times81 = 6075$.

Answer:

6075