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Vesnalui [34]
3 years ago
12

According to the United Nations, in the year 2002, the population of the world was 6.1 billion people and was growing at an annu

al rate of about 1.5%. If this pattern were to continue, then every year, the population would be 1.015 times the population of the previous year. Thus, if P(t) is the world population (in billions) t years after the base year 2002.
(a) What was the population in 2004?
(b) What will the population be in 2010?
Mathematics
1 answer:
zmey [24]3 years ago
3 0

Answer:

(a) 6.2843 billion

(b) 6.8716 billion

Step-by-step explanation:

Since there is a constant growth rate of 1.5% per year, and the population in 2002 was 6.1 billion people. The general equation for the total world population, in billions, after 2002 is:

P(t) = 6.1*(1+0.015)^t

With t being the time, in years, after 2002.

a) What was the population in 2004?

t=2004-2002=2\\P(2) = 6.1*(1.015)^2\\P(2) = 6.2843 \ billion

b) What was the population in 2010?

t=2010-2002=8\\P(8) = 6.1*(1.015)^8\\P(8) = 6.8716 \ billion

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