Question

35. In January 1990 the world's population

was 5.3 billion. Assuming a growth rate of 2%
per year, the world's population, in billions,
for t years after 1990 can be modeled by
the equation P = 5.3 (1.02). According
to the model, the population growth from
January 1995 to January 1996 was:
(A) 106,000,000
(B) 114,700,000
(C) 117,000,000
(D) 445,600,000
(E) 562,700,000​

Answer 1

The population growth from January 1995 to January 1996 was approximately 117,000,000 people.

Step-by-step explanation:

The population growth from January 1995 to January 1996 can be calculated using the exponential growth model P = 5.3(1.02)t. We need to find the population difference between t = 1996 and t = 1995.

Substituting t = 1996 into the equation, we get:

P1996 = 5.3(1.02)1996

Substituting t = 1995 into the equation, we get:

P1995 = 5.3(1.02)1995

To find the population growth, we subtract P1995 from P1996:

Population Growth = P1996 - P1995

Population Growth = 5.3(1.02)1996 - 5.3(1.02)1995

Calculating this expression gives a population growth of approximately 117,000,000.