Question

craig randomly surveys 50 people to find their favorite store at the mall. he finds that 18 people say they like the clothing store the best. if he conducts a second survey with 125 people, which is the best prediction for the number of people who will say they like the clothing store the best?

Explanation:

Step1: Calculate the proportion in first survey

The proportion of people who like the clothing store in the first - survey is $\frac{18}{50}$.

Step2: Use the proportion to predict for second survey

Let $x$ be the number of people who like the clothing store in the second survey. We set up a proportion: $\frac{18}{50}=\frac{x}{125}$. Cross - multiply gives $50x = 18\times125$. Then $x=\frac{18\times125}{50}$.
$18\times125 = 2250$, and $\frac{2250}{50}=45$.

Answer:

45