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ElenaW [278]
2 years ago
13

In April 2015 in the US, there was one birth every 8 seconds, one death every 12 seconds, and one new international migrant ever

y 32
seconds
(a) Letf(t) be the population of the US, wheret is time in seconds measured from the start of April 2015.
Findf'(o).
Round your answer to four decimal places.

Mathematics
1 answer:
meriva2 years ago
6 0

The growth rate of a population is the rate at which the population changes

<em>The rate of change is 0.0729 people per second</em>

Let:

<em>b represents birth</em>

<em>d represents death</em>

<em>m represents migrant</em>

<em />

So, the given parameters are:

\mathbf{b = \frac 18\ people/sec}

\mathbf{d = -\frac 1{12}\ people/sec}

\mathbf{m = \frac 1{32}\ people/sec}

<em>The negative sign represents death</em>

So, the population change f'(o) every second is:

\mathbf{f'(o) = b + d + m}

This gives

\mathbf{f'(o) = \frac 18 - \frac{1}{12} + \frac 1{32}}

Take LCM

\mathbf{f'(o) = \frac{12 - 8 + 3}{96}}

\mathbf{f'(o) = \frac{7}{96}}

Divide

\mathbf{f'(o) = 0.072916}

Approximate

\mathbf{f'(o) = 0.0729}

Hence, the rate of change is 0.0729 people per second

Read more about population growth at:

brainly.com/question/18607664

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