Question

A pack of wolves in a natural preserve has a population growth rate of x. Which of the following formulas will allow you to estimate the pack’s doubling time? A) x/100 B) 70 - 2x C) 70/x D) 70 - x/100

Answer 1

Option C

Step-by-step explanation:

Rate of increase in a population is generally written as net population increase in a unit time.

Here "X" represents the growth rate of population of wolves.

Let us assume that X is equal to
`23` wolves per month.

This means that 23 wolves are added every month to the wolves population.

Suppose if we have to derive the time in which the wolves population will increase to any number let us say "Y"

Then , time required will be equal to

`(Y)/(X)`

That means X will be denominator in a mathematical expression.

Thus, option C is correct

Answer 2

The correct answer is C) 70/x.

To calculate doubling time, rule of 70 formula is used. For this the annual growth rate of the population is required. In this question growth rate is given x. Thus, doubling time = 70/ growth rate.

Therefore, doubling time = 70/x.