In the year 2000, the population of a city was 600,000 citizens. The population increases at a rate of 1.8% per year.
2 answers:
SOS
Answer:
a) 600,000 (1.018)ᵗ, the graph is below:
* "t" is the years. 2000 is the first year, so "t" would be 1. 2012 is the 12th year so "t" would be 12.
b) As the years go by, the population increases. The years (X), and population (Y) both increase together. The graph shows that when the years increase the population increases.
c) In 2012, which would be 12 years later, I predict the population would be around 743,232 people.
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In around 6.35 years, the population will be 1 million.
<h3> how many years will it take for the population to reach one million?</h3>
The population is modeled by the exponential equation:
Then we just need to solve the equation for t:
Let's solve that:
If we apply the natural logarithm to both sides:
So in around 6.35 years, the population will be 1 million.
If you want to learn more about exponential equations:
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