Questions: The population of Williamstown is 9 times 10^6 people. The population of Smithville 3 times 10^5 people. How many times larger is Williamstown than Smithville? 3 30 300 3000

The population of Williamstown is 9 times 10^6 people. The population of Smithville 3 times 10^5 people. How many times larger is Williamstown than Smithville?
3
30
300
3000

Transcript text: 3.2.9 Check Your Understanding The population of Williamstown is $9 \times 10^{6}$ people. The population of Smithville $3 \times 10^{5}$ people. How many times larger is Williamstown than Smithville? 3 30 300 3000 Previous

Solution

Solution Steps

To determine how many times larger the population of Williamstown is compared to Smithville, we need to divide the population of Williamstown by the population of Smithville. This will give us the factor by which Williamstown's population is larger.

Step 1: Define the Populations

Let the population of Williamstown be represented as $ P_W = 9 \times 10^6 = 9000000 $ and the population of Smithville as $ P_S = 3 \times 10^5 = 300000 $.

Step 2: Calculate the Ratio

To find how many times larger the population of Williamstown is compared to Smithville, we calculate the ratio: \[ \text{Ratio} = \frac{P_W}{P_S} = \frac{9000000}{300000} \]

Step 3: Simplify the Ratio

Calculating the ratio gives: \[ \text{Ratio} = 30.0 \]