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Kevin moved from a city to a small town. The population of the city is 6 x 10^5, which is about 15 times as great as the small town. Which expression could represent the approximate population of the small town?

Verified Answer :

6 x 10^5 = 15 * (x = pop. of small town)
6 x 10^5 / 15 = x
60 / 15 x 10^4 = x
4 x 10^4 = pop. of small town

Answer:

The population of small town is 40,000. The expression \(4\times 10^4\) represents the approximate population of the small town.

Step-by-step explanation:

The population of the city is

\(6\times 10^5=600,000\)

Let the population of small town be x.

It is given that the population of city is about 15 times as great as the small town.

\(15x=600,000\)

Divide both sides by 15.

\(\frac{15x}{15}=\frac{600,000}{15}\)

\(x=40,000\)

It can be written as

\(x=4\times 10^4\)

Therefore population of small town is 40,000. The expression \(4\times 10^4\) represents the approximate population of the small town.