Chapter 11.5, Problem 6E

To determine

To predict: the number of students in the school who would say math to be their favorite subject when the total students in the school are $1200$ .

Answer to Problem 6E

The students in the school who would say math to be their favorite subject are $360$ .

Explanation of Solution

Given information: Consider the question given to predict the number of students in the school who would say math to be their favorite subject in a school of $1200$ students when in a survey of $100$ students, $30$ students say that math is their favorite subject.

Calculation:

Total numbers of students in the school are $1200$ . To find out the number of students who would say math to be their favorite subject, follow the steps given below:

Total numbers of students in the survey = $100$

Number of students who said that math is their favorite subject = $30$

Evaluate the percentage of students who said that math is their favorite subject. Therefore,

  $\frac{30}{100}=0.3=30\%$

Hence, the percentage of students who said that math is their favorite subject is $30\%$ .

Find $30\%$ of the total number of students in the school.

  $30\%·\text{ 1200 students}=360\text{ students}$

Hence, the students in the school who would say math to be their favorite subject are $360$ .