Question

The population of a certain animal species decreases at a rate of 3.5% per year you have counted 80 of the animals in the habitat you are studying how many animals will there be after 6 years round to the nearest whole number

Answer 1

65

Explanation:

In this situation, first we need to find the change in the amount of animals in the year.

Since we know that the rate per year in the decrease is 3.5%, we then subtract this to 100%.

3.5% = 0.035

100 = 1

1 - 0.035 = 0.965

From here we can find the number of animals by getting the initial value and multiplying it with the decreasing rate raised to the number of years.

This can be represented as:

Total animals = 80(0.965)
`80(0.965)^(6)`

Total animals = 80(0.81)

Total animals = 64.60 or 65

There will be a total number of 65 Animals after 6 years.