Question

Smallville had a population of 5,000 people. Every week half of the people move away from smallville. After T weeks less than 160 people are left. Which inequality best represents the charge in a population of smallvillie

Answer 1

Answer:

The answer is 5000(0.5^T) < 160

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Answer 2

Inequalities are used to relate unequal expressions

The inequality that represents the charge in a population of smallvillie is $5000(0.5)^T < 160$

The given parameters are:

$a = 5000$ -- the initial population

$r = 0.5$ --- the weekly rate

Let T represents the number of weeks.

Population are often modeled using exponential functions.

The general form of an exponential function is:

$y = ar^T$

Where:

y represents the current population

So, we have:

$y = 5000(0.5)^T$

When less than 160 people are left, it means that:

$y < 160$

So, we have:

$5000(0.5)^T < 160$

Hence, the inequality is $5000(0.5)^T < 160$

Read more about inequalities at:

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