The population of The Colony after 2 hours is d. 64
The given parameters are:
Initial, a = 1
Rate, b = 2 every 20 minutes
An exponential function is represented as:
y = ab^x
So, we have:
y = 1 * 2^x
y = 2^x
There are six 20 minutes in 2 hours.
This means that:
x = 6
So, we have:
y = 2^6
Evaluate
y = 64
Hence, the population of The Colony after 2 hours is d. 64
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