Population are often modelled by exponential functions
The population will reach 1000000 people after 26.5 years
The population function is given as:
When the population reaches 1000000 people, we have:
P(x) = 1000000
So, the equation becomes
Divide both sides by 692600
Take logarithm of both sides
Apply logarithm to both sides
Make x the subject
Solve the logarithms of 1.444 and 1.014
Divide
The value of x, is the number of years the population reaches 1000000 people.
Hence, the population will reach 1000000 people after 26.5 years
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