100 POINTS!!

zapata junior high is considering changing its school colors. the results of a survey show that 20 of 36 students are in favor of the change. which is the best prediction for the number of students in the entire body of 1,200 students who are in favor of changing the school colors?

A. 50
B. 400
C. 660
D. 530

Answer: C

Step by Step Explanation: The answer is 660

The number of students in the entire body of 1,200 students who are in favor of changing the school colors is, 660

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

We have to given that;

The results of a survey show that 20 of 36 students are in favor of the change.

Now, Let number of students in the entire body of 1,200 students who are in favor of changing the school colors is, x

Hence, We can formulate;

⇒ 20 / 36 = x / 1200

⇒ 5 / 9 = x / 1200

⇒ 1200 × 5 / 9 = x

⇒ x = 6000 / 9

⇒ x = 660

Thus, The number of students in the entire body of 1,200 students who are in favor of changing the school colors is, 660

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