Question

out of a population of 1,000 students, 80 were asked by a random sampling what color they would prefer for their first car. 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
86
175
212

Explanation:

Step1: Set up proportion

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

Step2: Cross - multiply

$80x = 14\times1000$.

Step3: Solve for $x$

$x=\frac{14\times1000}{80}=\frac{14000}{80}=175$.

Answer:

175