The population will surpass 25 million in 2018.
A function is a relationship between a group of inputs that each have one output. A function, in simple terms, is a relationship between inputs in which each input is associated to only one output.
It is given that
In 2000, the population of a city was about 15 million
it was growing by about 3% per year
the function f(x) = 15(1.03)ˣ gives the population in millions of the town x years after 2000
the population surpass 25 million
To surpass 25 million we have to determine the population of 25 million is on which year.
The next year to that the population will surpass 25 million
The function given is f(x) = 15(1.03)ˣ
25 =15(1.03)ˣ
25/15 =(1.03)ˣ
ln (25/15) =ln(1.03)ˣ
0.5108=0.029 * x
x = 17.6
The population will be 25 million in the year 2017 and 6 months so the population will surpass 25 million in 2018.
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