Question

this question has two parts. first, answer part a. then, answer part b.
part a
of the 50 students in the cafeteria, 7 have red hair. suppose there are 750 students in the school.
write a proportion that could be used to predict the number of students who have red hair. use x to represent the number of students who have red hair.
part b
out of 750 students, of them should have red hair.

Explanation:

Step1: Set up the proportion

The proportion is based on the ratio of red - haired students in the sample to the total number of students in the sample being equal to the ratio of red - haired students in the population to the total number of students in the population.
The ratio in the sample is \(\frac{7}{50}\), and in the population, it is \(\frac{x}{750}\). So the proportion is \(\frac{7}{50}=\frac{x}{750}\).

Step2: Solve the proportion for \(x\)

Cross - multiply: \(50x = 7\times750\).
First, calculate \(7\times750=5250\). Then, \(x=\frac{5250}{50}\).
Since \(5250\div50 = 105\).

Answer:

\(105\)