The population of Canada in 2010 was approximately 34 million with an annual gro

Question

The population of Canada in 2010 was approximately 34 million with an annual growth rate of 0.804 % .At this rate, the population P (t) in millions can be approximated by p (t)=34(1.008004) *t, where t is the time in years since 2010.

a) is the graph of p an increasing or decreasing exponential function?

b) Evaluate p (0) and interpret its meaning in the context of this problem.

c) EValuate P (5) and interpret its meaning in the context of this problem. Round the population value to the nearest million

Explanation / Answer

P(t) = 34(1.008004)^t

a) Grap is increasing exponential function as t increases

b) P(0) ; P(0) = 34 .It means in 2010 population of canada was 34 million

c) P(5) = 34(1.008004)^5 = 35.38 million

In year 2015 opoulation of canada is 35.38 million

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