Question
5.The population growth rate of the Golden Horse shoe area around Lake Ontario is among th efastest in Canada,an estimated 1.84% per year. a) The population of the area accordingto the 2001 census was 11.5million .What is its estimated population for 2011? b) What was its populationin 1996?
Solution
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IvannaElite · Tutor for 8 years
Answer
### a) Approximately 13.74 million<br />### b) Approximately 10.46 million
Explain
## Step 1: Calculate the population multiplier<br />### The population grows by 1.84% each year, so the multiplier is $1 + \frac{1.84}{100} = 1.0184$.<br /><br />## Step 2: Calculate the 2011 population<br />### 2011 is 10 years after 2001. The population in 2011 is $11.5 \times (1.0184)^{10} \approx 13.74$ million.<br /><br />## Step 3: Calculate the 1996 population<br />### 1996 is 5 years before 2001. The population in 1996 is $11.5 \times (1.0184)^{-5} \approx 10.46$ million.
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