Question

The Population in Corpus Christi in 1970 was 204,525. The population in 2002 was 276,877. Create an
exponential equation and find out what the population will be in 2017?
When solving for b round it to the 4 decimals to use in the Equation. WHAT WILL BE THE POPULATION IN
2017?

Answer 1

Answer:

The population is 2017 is 291,254

Step-by-step explanation:

The exponential equation will be in the form

P = I( 1 + r)^t

where P is the present population

I is the population initially at 1970

r is the annual growth percentage

t is the number of years since 1970

So for 2002, we have

r in this case will be 2002-1970 = 32

277,877 = 204,525(1 + r)^32

(1 + r)^32 = 1.3586

1 + r = 1.0096

r = 1.0096-1

r = 0.0096

So the growth percentage is 0.96% annually

So the population in 2017 where t will be 2017-1970 = 37 will be

P = 204,525(1 + 0.0096)^37

P = 204,525(1.0096)^37

P = 291,254