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.

Explanation:

Step1: Set up the proportion

The proportion is based on the ratio of red - haired students to total students in the cafeteria and the ratio of red - haired students to total students in the school.
$$\frac{7}{50}=\frac{x}{750}$$

Step2: Solve for \(x\)

Cross - multiply: \(50x = 7\times750\). Then \(x=\frac{7\times750}{50}\).
Calculate \(7\times750 = 5250\), and \(x=\frac{5250}{50}=105\).

Answer:

The proportion is \(\frac{7}{50}=\frac{x}{750}\) and the value of \(x\) (the number of students with red hair in the school) is \(105\).