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 populations of city x and city y?
the population of city y is 2 times the population of city x.
the population of city y is 20 times the population of city x.

Explanation:

Step1: Calculate the ratio of populations

$\frac{\text{Population of City Y}}{\text{Population of City X}} = \frac{6 \times 10^6}{3 \times 10^5}$

Step2: Simplify the ratio

First simplify the coefficients: $\frac{6}{3}=2$. Then simplify the powers of 10: $\frac{10^6}{10^5}=10^{6-5}=10$. Multiply the results: $2 \times 10 = 20$.

Answer:

The population of City Y is 20 times the population of City X.