Question

The table shows the projected numbers N (in millions) of people living in the United States.

Answer 1

According to the model, the  year will the population exceed 470 million is 2060

What is the first step to take?

The first step in this case is to use the model to compute the population figure in each year as shown below:

N = 3.21t + 277.3

Year 2020:

t=20

N = 3.21(20) + 277.3

N=341.50

Year 2025:

t=25

N = 3.21(25) + 277.3

N= 357.55

Year 2030:

t=30

N = 3.21(30) + 277.3

N=373.60

Year 2035:

t=35

N = 3.21(35) + 277.3

N= 389.65

Year 2060:

t=60

N = 3.21(60)+ 277.3

N= 469.90

Year 2065:

t=65

N = 3.21(65)+ 277.3

N= 485.95

Since all the years given do not give the correct year, let us equate the target population figure to the model and solve for t

470= 3.21t + 277.3

470-277.3=3.21t

192.70=3.21t

t=192.70/3.21

t=60.03(approximately 2060)

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