Question

A population of 175 snails is increasing at an annual rate of 12% What will the population of the snails be in 10 years?nearest whole numberYour answer

Answer 1

544 snails

Explanation:

Since the growth is exponential, we can set the following function for the snail population, just like this:

`\begin{gathered} p=175\cdot(1+12\%)^t \\ p=175\cdot(1+0.12)^t \\ p=175\cdot(1.12)^t \end{gathered}`

Where t is the time that could elapse, in this case we are told that in 10 years, therefore the value of t is equal to 10, we replacing and we calculate the new population:

`\begin{gathered} p=175\cdot(1.12)^(10) \\ p=543.52 \\ p\cong544\text{ snails} \end{gathered}`

In 10 years, the population of snails is 544 snails