A teacher ask 40 randomly selected students if they watched the new action movie over the weekend. If 12 of the students surveyed saw the movie, predict how many of the 500 students at the school saw the movie?
Using proportions:
The proportion of students surveyed who saw the movie is:
12/40 = 0.3
We can use this proportion to predict how many students out of the whole school population of 500 saw the movie:
0.3 x 500 = 150
Therefore, it is predicted that 150 students at the school saw the new action movie over the weekend.
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To predict how many of the 500 students at the school saw the movie based on the sample of 40 randomly selected students, we can use the concept of proportional reasoning.
1. First, find the ratio of students who saw the movie in the sample to the total number of students in the sample:
Ratio in sample = (number of students who saw the movie) / (total number of students in the sample)
Ratio in sample = 12 / 40
2. Next, calculate the ratio of students who saw the movie in the sample to the total number of students in the school:
Ratio in school = Ratio in sample
3. Finally, use the calculated ratio to predict the number of students who saw the movie in the school:
Predicted number of students = Ratio in school * Total number of students in the school
Predicted number of students = Ratio in school * 500
Using these steps, we can calculate the predicted number of students who saw the movie in the whole school.
Ratio in sample = 12 / 40 = 0.3
Ratio in school = 0.3
Predicted number of students = 0.3 * 500 = 150
Therefore, based on the sample, we can predict that approximately 150 students at the school saw the new action movie over the weekend.