Astudy done from 1950 through 2000 estimated that the world population increased on average by 1.77% each
year. in 1950, the world population was 2,519 million.
a. write a formula for the world population t years after 1950. use pp to represent the world population.
b. write a formula for the number of years it takes to reach a population of p.
c. use your equation in part (b) to find when the model predicts that the world population is 10 billion.

a.

b.

c. in the year of 2029

Step-by-step explanation:

The world population in 1950 was 2,519 million or 2.519 billion.

a-) Population after 1950 can be defined as a compounded growth at the rate of 1.77% per year. This can be modeled as follows:

b-) To find an expression for the number of years to reach a population p, we must apply logarithmic properties to the expression found in part a. as follows:

c-) For p = 10:

The model predicts that the world population will surpass 10 billion in roughly 79 years from 1950, that is in the year of 2029.