Question

their responses are shown in the table below. car color favorite color number of students blue 5 red 18 gray 27 silver 14 white 16 using proportional reasoning, how many students out of the 1,000 would you expect to prefer a silver car? 14 64 175 252

Explanation:

Step1: Calculate total number of students surveyed

$5 + 18+27 + 14+16=80$

Step2: Set up proportion for silver - colored cars

Let $x$ be the number of students out of 1000 who prefer silver cars. The proportion is $\frac{14}{80}=\frac{x}{1000}$.

Step3: Solve the proportion for $x$

Cross - multiply: $80x = 14\times1000$, so $x=\frac{14\times1000}{80}=\frac{14000}{80}=175$.

Answer:

175