The population of a certain country in 1996 was 286 million people. in addition, the population of the country was growing at a rate of 0.8% per year. assuming that this growth rate continues, the model p(t) = 286(1.008 )^t-1996 represents the population p (in millions of people) in year t. according to this model, when will the population of the country reach a. 306 million? b. 386 million?

A) In 2004 the population will reach 306 million.

B) In 2033 the population will reach 386 million.

Step-by-step explanation:

Given : The population of a certain country in 1996 was 286 million people. In addition, the population of the country was growing at a rate of 0.8% per year. Assuming that this growth rate continues, the model represents the population P (in millions of people) in year t.

To find : According to this model, when will the population of the country reach A. 306 million? B. 386 million?

Solution :

The model represent the population is

Where, P represents the population in million.

t represents the time.

A) When population P=306 million.

Taking log both side,

Therefore, In 2004 the population will reach 306 million.

B) When population P=386 million.

Taking log both side,

Therefore, In 2033 the population will reach 386 million.

f is the midpoint of

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