# Question #7f620

Feb 18, 2017

$1024$.

#### Explanation:

The amount of bacteria in the tube after $t$ minutes (we can be sure that holds for positive integers at least) is given by the function:

$f \left(t\right) = {2}^{t}$

We can see that at $t = 0$, ${2}^{0} = 1 = f \left(0\right)$ which is the initial amount that we started with. After $1$ minute, there are ${2}^{1} = 2$ bacteria, and after $2$ minutes, there are ${2}^{2} = 4$, after $3$ there are ${2}^{3} = 8$ and so on. So, after $10$ minutes, we have

$f \left(10\right) = {2}^{10} = 1024$ bacteria.

---Side note---

If we wanted to also find the amount of bacteria that the tube can hold, we know that it fills up after $1$ hour, or $60$ minutes, so it can hold up to ${2}^{60}$.