Question

shana lives in a town with a population of 130,000. standing outside the largest grocery store, shana surveyed people to find out how many have cats. of the people she asked, 106 people had cats and 694 did not. how many cat owners are predicted to live in the town? there should be 694 cat owners in town. there should be 1,226 cat owners in town. there should be 17,225 cat owners in town. there should be 19,855 cat owners in town.

Explanation:

Step1: Find total surveyed

First, find the total number of people Shana surveyed. She asked 106 people with cats and 694 without, so total surveyed is $106 + 694 = 800$.

Step2: Calculate proportion of cat owners

The proportion of cat owners in the survey is $\frac{106}{800}$.

Step3: Apply proportion to town population

To find the number of cat owners in the town (population 130,000), multiply the population by the proportion: $130000\times\frac{106}{800}$. Simplify this: $130000\div800 = 162.5$, then $162.5\times106 = 17225$.

Answer:

There should be 17,225 cat owners in town.