Question

A certain area had a raccoon population of 1500 in the year 2000. In the year 2007, there were 3000 raccoons. What percentage rate is the raccoon population growing at? How many raccoons will there be in the year 2035 and in the year 2042?

a) 100% growth rate; 6000 raccoons in 2035 and 12000 in 2042
b) 50% growth rate; 4500 raccoons in 2035 and 6000 in 2042
c) 100% growth rate; 3000 raccoons in 2035 and 6000 in 2042
d) 50% growth rate; 6000 raccoons in 2035 and 9000 in 2042

Answer 1

The raccoon population has a 100% growth rate. There will be 6000 raccoons in the year 2035 and 12000 raccoons in the year 2042.

Step-by-step explanation:

To find the percentage growth rate of the raccoon population, we can use the formula:

Growth rate = ((Final Population - Initial Population) / Initial Population) x 100

Using the given values:

Growth rate = ((3000 - 1500) / 1500) x 100 = 100%

To determine the raccoon population in the year 2035 and 2042, we need to calculate the number of doubling times from 2007 to each year. Since the population doubles every 10 years, we can divide the number of years by 10 to get the number of doubling times.

In 2035, there will be 2 doubling times, so the population will be: 3000 x (2^2) = 6000 raccoons

In 2042, there will be 3 doubling times, so the population will be: 3000 x (2^3) = 12000 raccoons