Question

Using the exponential growth function for the U. S. population from 1970 through 2003:

A = 205.1e^0.011t


with the U.S. population being 205.1 million in 1970,


when would the U. S. population reach 350 million?


A.

2028



B.

2048



C.

2018



D.

2038

Answer 1

Explanation:

Using the exponential growth function for the U. S. population from 1970 through 2003:

A = 205.1e^0.011t

with the U.S. population being 205.1 million in 1970, when would the U. S. population reach 350 million?

A.

2028

B.

2048

C.

2018

D.

2038

We have the expression

A = 205.1e^0.011t

We are asked to find when would the U. S. population reach 350 million

A = 350

350 = 205.1e^0.011t

We divide both sides by 205.1

Divide both sides by 205.1

350/205.1 = 205.1e^0.011t/205.1

1.7064846416 = e^0.011t

We take the log of both sides

log 1.7064846416 = log e^0.011t

log 1.7064846416 = t log 0.011

t = log 1.7064846416/ log 0.011

t = 0.1185057826