Question

Barney is an ecologist who studies the change in the tiger population of Siberia over time.

The relationship between the elapsed time t, in decades, since Barney started studying the population, and the
number of tigers, N(t), is modeled by the following function:
N() = 710 (35)
Complete the following sentence about the rate of change in the tiger population. Round your answer to two
decimal places.
The tiger population loses
3/5
of its size every____ decades

Answer 1

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Step-by-step explanation:

Answer 2

• See the explanation below because the question is not clear.

Step-by-step explanation:

The function is garbled and incomplete: the power is missing and the decaying factor seems to be 3/5.

Assume the power is a constant divided by the variable t. Then, the equation would have the form:

`N(t)=710\bigg((3)/(5)\bigg)^(t/n)`

That function means that:

• The initial population of tigers is 710

• When it has elapsed a number of t/n decades the population multiplies itself 3/5.

• That is a decaying function because the factor is 3/5 which is less than 1.

If n = 1, the power is t, which means that the popultion of tiger is reduced to 3/5 of its size every t decades.

If n = 2, the power is t/2 meaning that the popluation of tigers is reduced to 3/5 of its size every 2 decades.

If n = 3, the power is t/3 and the population of tigers is reduced to 3/5 of its size every 3 decades.

Assume n = 0.5, then the power is t/0.5 = 2t, and the population of tigers is reduced to 3/5 every half-decade, or 5 years.