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, 116 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.)
a 3 people
b 21,552 people
c 4640 people
d 464 people

Explanation:

Step1: Set up proportion

Let $x$ be the number of people in the city with a swimming - pool. The proportion is $\frac{116}{250}=\frac{x}{10000}$.

Step2: Cross - multiply

$250x = 116\times10000$.

Step3: Solve for $x$

$x=\frac{116\times10000}{250}=\frac{1160000}{250}=4640$.

Answer:

C. 4640 people