Answer:
The population will be 240,116
Step-by-step explanation:
Exponential growth can be represented by the expression:
where:
is the population at time (t)
is the initial value of the population
"r" is the annual rate of growth (written in decimal form)
and "t" is the time in years.
Therefore in this situation, P(16) is what we want to find [the population after 16 years]
the initial population is 110,000
the rate of growth is 0.05 [decimal form of 5%]
and t is 16 years.
Replacing all these in the given functional form gives:
Here we use the equation
Taking points (0,4), (1,2)
Substituting the point (0,4) , we will get
Substituting (1,2) we will get
So we have
Therefore , required equation is
After the division, we get 8.99031476998. This rounds to <u>9</u> as a whole number, which is the answer.
When rounding to a whole number, the digits following the decimal decide what number it rounds to. If it is 0-4 it rounds to whatever the whole number currently is E.G.
8.1 would round to 8
But if its 5-9 it rounds to one above, like in our current case.
8.5 rounds to 9.
42.414 rounds to 42.
42.94149124 rounds to 43.
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