Niger's population, $t$`t` years after the year 2000 is modelled by $P=17.7e^{0.0078t}$`P`=17.7`e`0.0078`t`, where $P$`P` is the number of millions of people.

a

State the population of Niger in the year 2000.

b

State the continuous growth rate used in this model.

c

Find Niger's population in 2005.

Give your answer to one decimal place.

d

Solve for the number of years, $t$`t`, it will take for Niger's population to reach $22$22 million.

Give your answer to one decimal place.

e

Solve for the number of years, $t$`t`, it will take for Niger's population to double.

Give your answer to one decimal place.

Easy

Approx 8 minutes

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