A group of 54 randomly selected students from one school district participated in a survey. Out of the 54 students in the survey, 9 are enrolled in band camp. If there are a total of 1,200 students in the school district, which estimate is reasonable for the number of students in the whole school district who are enrolled in band camp?
9/54 = x/1200
Cross multiply and solve for x.
200
1/6 = x/1200
x = 1200/6 = 200 yes
To estimate the number of students in the whole school district who are enrolled in band camp, we can use the concept of proportions.
Step 1: Find the proportion of students in the survey who are enrolled in band camp.
Proportion = (Number of students in band camp) / (Total number of students in the survey)
Proportion = 9 / 54
Step 2: Use the proportion to estimate the number of students in the whole school district who are enrolled in band camp.
Estimate = (Proportion) * (Total number of students in the school district)
Estimate = (9 / 54) * 1200
Now, let's calculate the estimate:
Estimate = (9 / 54) * 1200
= (1 / 6) * 1200
= 200
Therefore, the estimate for the number of students in the whole school district who are enrolled in band camp is 200.