Sunday

March 29, 2015

March 29, 2015

Posted by **Jessica** on Tuesday, November 8, 2011 at 11:45am.

One demographer believes that the population growth of a certain country is best modeled by the function P (t) =15 e^.08t, while a second demographer believes that the population growth of that same country is best modeled by the function P (t) =15 +3t. In each case, t is the number of years from the present and P (t) is given in millions of people. For what values of t do these two models give the same population? In how many years is the population predicted by the exponential model twice as large as the population predicted by the linear model?

- algebra -
**Steve**, Tuesday, November 8, 2011 at 8:51pmJust get past the words and see what they're really telling you.

There are two functions:

p(t) = 15e^.08t

q(t) = 15 + 3t

when are they equal?

15e^.08t = 15+3t

p(0) = 15

q(0) = 15

p(1) = 16.249

q(1) = 18

They start out the same, but you know that the exponential will eventually grow much faster. Look at a graph.

p(t) = q(t) when t = 20.235 or so

when does

p(t) = 2q(t)

again, from the graph, t=34.501

**Answer this Question**

**Related Questions**

algebra - Pick a country of your choice that is experiencing population growth. ...

Math - Suppose that a country's population is 64 million and its population ...

Math - Suppose that a country's population is 64 million and its population ...

Calculus - The population of a colony of bacteria is modeled by the function p(...

Calculus - The population of a colony of bacteria is modeled by the function p(...

socials - demographer 1. calculate following increases or decreases in ...

algebra 2 - Solve the problem. The growth in the population of a certain rodent ...

Math - Suppose that a country's population is 64 million and its population ...

algebra - evaluate each function for the value specified.fx+x2-7x+10; find (a)f(...

algerbra - Pick a country of your choice that is experiencing population growth...