Question

Question #7f620

Answer 1

`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(t) = 2^t`

We can see that at `t=0`, `2^0 = 1 = f(0)` 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(10) = 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`.