Question

A population of 60 foxes in a wildlife preserve triples in size every 15 years. The function y = 60 times 3^x​, where x is the number of 15​-year ​periods, models the population growth. How many foxes will there be after 30 ​years?

After 30 years there will be __________foxes. ​(Type a whole​ number.)

Answer 1

Answer: After 30 years there will be 540

Explanation:

The function that models the the population growth of the foxes in the wildlife reserve is expressed as

y = 60 times 3^x​,

Where

x represents the number of 15​-year ​periods.

The initial number of foxes in the wildlife is 60

Since the population the foxes in the wildlife preserve triples in size every 15 years, in 30 years,

x = 30/15 = 2

Therefore,

y = 60 × 3²

y = 540 foxes