The formula P(t) = 37e^.0095t models the population of California in millions t years after 2010.

Question

The formula P(t) = 37e^.0095t models the population of California in millions t years after 2010.

 

What was the population in 2010?

 

When will the population reach 40 million?

Answer 1

First part)

 

Set t=0 and solve for P(t).

 

 

Second part)

 

Set P(t)=40 and solve for t.  Remember that t is an exponent, so you apply natural logarithms (ln).  Once you solve for t, add 2010 to that value to get your actual year.

 

Note: Be sure to round t to the nearest integer.