Laura takes a random survey of the students in her school. Of the 48 students asked, 16 plans to go to the football game. There are 231 students in her shcool. What proportion can she use to find s the total number of students expected to attend the game?
21%
To find the total number of students expected to attend the game, Laura can use proportions. A proportion is a relationship between two ratios, where the two fractions are equal.
First, Laura needs to find the proportion of students who plan to go to the football game based on the survey. She can do this by dividing the number of students planning to go (16) by the total number of students surveyed (48):
Proportion of students planning to go = Number of students planning to go / Total number of students surveyed
Proportion of students planning to go = 16 / 48
Proportion of students planning to go = 1/3
Now, Laura needs to use this proportion to estimate the total number of students expected to attend the game out of the entire school population. She can do this by multiplying the proportion by the total number of students in her school (231):
Total number of students expected to attend the game = Proportion of students planning to go * Total number of students in the school
Total number of students expected to attend the game = 1/3 * 231
Total number of students expected to attend the game ≈ 77
Therefore, based on the survey, Laura can estimate that approximately 77 students are expected to attend the football game.