The stray cat population in a small town is growing exponentially. In 2000 the city had 30 stray cats and the relative growth rate was 15% per year.Find a function that models the population n (t) of stray cats after t years.Find the projected population after 6 years.Find the number of years needed for the stray cat population to reach 725.

Name: the stray cat population in a small town is growing exponentially in 2000 the city had 30 stray cats and the relative growth rate was 15 per yearfind a function that models the population n 65997
Uploaded: 2023-06-03T00:32:08-08:00
Duration: 1 min 35 s
Channel: Donna Densmore
Description: the stray cat population in a small town is growing exponentially in 2000 the city had 30 stray cats and the relative growth rate was 15 per yearfind a function that models the population n 65997

          The stray cat population in a small town is growing exponentially. In 2000 the city had 30 stray cats and the relative growth rate was 15% per year.Find a function that models the population n (t) of stray cats after t years.Find the projected population after 6 years.Find the number of years needed for the stray cat population to reach 725.

Added by David J.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Donna Densmore

06/03/2023

Step 1

In this case, n0 = 30, r = 0.15 (15% expressed as a decimal), and t is the time in years since 2000. So, the function that models the population of stray cats after t years is: n(t) = 30 * (1 + 0.15)^t Show more…

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The stray cat population in a small town is growing exponentially. In 2000 the city had 30 stray cats and the relative growth rate was 15% per year.Find a function that models the population n (t) of stray cats after t years.Find the projected population after 6 years.Find the number of years needed for the stray cat population to reach 725.