Answer: 237.53 million
Explanation:
y = a(1+r)^x is the formula for exponential growth
To find r, the rate, use the formula r = (y2-y1)/y1
so (226-224)/224 is roughly about 0.01
y = a(1 + 0.01)^x
y = a(1.01)^x
x is the time that passed, so between 2001 and 2006 is 5.
y = a(1.01)^5
a is the initial value, so we'll use the one from 2001 because that's was we got x from.
y = 226(1.01)^5
y = 226(1.051)
y = 237.53
so in 2006, the population will be about 237.53 million.