Question

6. One hundred twenty-five townspeople were interviewed at random. Forty of the interviewed townspeople were from the middle school. The middle school has 800 students. Estimate the size of the town.​

Answer 1

See below, please.

Explanation:

To estimate the size of the town, we can use a proportion.

Number of middle school students / Total town population = Number of interviewed middle schoolers / Total number of interviewed townspeople

Let x be the total town population. Then we have:

800 / x = 40 / 125

Simplifying this proportion, we get:

40x = 800×125

40x = 100000

x = 100000 / 40

x = 2500

Therefore, the estimated size of the town is 2500.