Question

city X has a population of 3 times 10^5 and city Y has a population of 6 times 10^6. Which statement correctly describes the relationship between the population of city X and city Y

Answer 1

Answer:

The population of city Y is 20 times than that of city X.

Step-by-step explanation:

Given:

City X has a population of 3 times 10^5

City Y has a population of 6 times 10^6.

Question asked:

Which statement correctly describes the relationship between the population of city X and city Y?

Solution:

If we will be able to find the number of times the population of city Y more than that of city X, it will be the best and easy to understand relationship between the population of these two towns:

And we can easily calculate by dividing the population of city Y by population of city X.

$=\frac{6\times10^{6} }{3\times10^{5}} \\ \\ =\frac{6\times10^{6-5} }{3}\ (\frac{a^{m} }{a^{n} }= a^{m-n} )$

$=\frac{6\times10^{1} }{3} \\ \\ =\frac{60}{3} \\ \\ =20\ times$

Thus, the population of city Y is 20 times than that of city X.