quadratic, log, exponential

Question

The graph on the right shows the growth in a​ country's population of people age 85 and older for the years from 1960 to 2000 and projected to 2050. The exponential function that closely approximates this graph is ​f(t)=0.586(1.038)t

In this​ function, f(t) is the​ population, in​ millions, of people age 85 and older and t is the number of years since 1960. Assuming this trend​ continues, use this function to estimate the number of people age 85 and older in the following years.

​a) Year 2090.

If this trend​ continues, the number of people age 85 and older in the country in the year

2090 will be ?? million.

​b) Year 2120.

If this trend​ continues, the number of people age 85 and older in the country in the year

2120 will be about ?? million.

Answer 1

0.586(1.038)^`130 = 0.586(127.5428028) = 74.7008245

= 74,700,824.5 = about 75 million in the year 2090

in 2120, t= 160, population of 85+ = .586(1.038)^160= 228,809,566

use a calculator with an exponential function