Question

To estimate the number of people in Springfield, population 10,000, who have a swimming pool in their backyard, 250 people were interviewed. Of those polled, 60 had a swimming pool. How many people in the city might one expect to have a swimming pool? (Round to the nearest whole number, if necessary) 2400 people 2 people 41.667 people 240 people

Answer 1

2400 people

Explanation:

Let x be the number of people who had a swimming pool in the population of 10,000,

Thus, the ratio of people who had swimming pool to the total population =
`(x)/(10000)`

Since, out of 250 people 60 had swimming pool,

So, the ratio of the people who had swimming pool to the total population =
`(60)/(250)`

`\because (x)/(10000)=(60)/(250)`

`\implies 250x=600000`

`\implies x=(600000)/(250)=2400`

Hence, 2400 people in the city might one expect to have a swimming pool.

First option is correct.