Question

One zombie is roaming the streets infecting people. Each minute thenumber of zombies doubles. New zombies are able to infect people.How many zombies will there be after 5 minutes?

Answer 1

32 zombies

Step-by-step explanation:

initial value = 1 zombie

a = 1

time = minutes

The zombies doubles each minute

We would apply exponential function:

`\begin{gathered} \text{y = ab}^x \\ b\text{ = (1 + r) (growth)} \\ x\text{ = time = t} \\ y=a\mleft(1+r\mright)^t \end{gathered}`
`\begin{gathered} r\text{ = 1 (since it doubles)} \\ y=a(1+1)^t \\ y=a(2)^t \\ \end{gathered}`

We are to find number of zombies after 5 minutes:

`\begin{gathered} t\text{ = 5 mins} \\ a\text{ = 1} \\ y\text{ = number of zombies} \\ y=1(2)^5 \\ y\text{ = 1 }*\text{ 32} \\ y\text{ = 32} \end{gathered}`

Hence, there would be 32 zombies after 5 minutes