Final answer:
The population of bacteria will be 52,160 bacteria 1,705 minutes from now.
Step-by-step explanation:
The population of bacteria in a colony doubles every 341 minutes. We are given that the current population is 1,630 bacteria. We need to find the population 1,705 minutes from now.
To solve this, we can set up the exponential growth formula:
Pt = P0 * 2^(t/d)
Where:
Pt is the population at time t
P0 is the initial population
t is the time elapsed
d is the doubling time
Plugging in the values:
Pt = 1,630 * 2^(1705/341)
Simplifying this expression gives us:
Pt = 1,630 * 2^(5)
Calculating 2^(5) = 32, we find:
Pt = 1,630 * 32 = 52,160 bacteria