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?
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.