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, 115 had a swimming pool. How many people in the city might we expect to have a swimming pool? Round to the nearest whole number if necessary.
Answer:
4600 people in the city might expect to have a swimming pool.
Step-by-step explanation:
There is a total population of 10,000 people in Springfield.
Out of these 1000 people 250 people were interviewed. Of those, 115 had a swimming pool.
i.e. in 250 people the proportion of people those who have swimming pool is: \(\dfrac{115}{250}=0.46\)
Hence among 10000 people the number of people who have swimming pool is: 0.46×10000=4600.
Hence out of 10000 people 4600 people have swimming pool.