Question

students from three grade levels were surveyed about their use of school buses. the results of the survey are shown in the table.

	grade 10	grade 11	grade 12	total
does not use school buses	16	23	17	56
total	50	50	50	150

choose all of the statements that can be inferred from the data in the table.

a. 37% of all students do not use school buses
b. 66% of students in grade 12 use school buses
c. 11% of students in grade 10 do not use school buses
d. 34% of students who use school buses are in grade 10
e. 15% of all students are in grade 11 and do not use school buses

Explanation:

for each option:

Option A:

Step1: Calculate percentage of non - bus - using students.

Total students = 150, non - bus - using students = 56. Percentage = $\frac{56}{150}\times100\%\approx37.33\%\approx37\%$. So this statement is correct.

Option B:

Step1: Calculate percentage of Grade 12 bus - using students.

Grade 12 total students = 50, bus - using Grade 12 students = 33. Percentage = $\frac{33}{50}\times100\% = 66\%$. So this statement is correct.

Option C:

Step1: Calculate percentage of Grade 10 non - bus - using students.

Grade 10 total students = 50, non - bus - using Grade 10 students = 16. Percentage = $\frac{16}{50}\times100\%=32\%
eq11\%$. So this statement is incorrect.

Option D:

Step1: Calculate percentage of Grade 10 students among bus - using students.

Total bus - using students = 94, Grade 10 bus - using students = 34. Percentage = $\frac{34}{94}\times100\%\approx36.17\%\approx34\%$ (approximate). So this statement is correct.

Option E:

Step1: Calculate percentage of Grade 11 non - bus - using students among all students.

All students = 150, Grade 11 non - bus - using students = 23. Percentage = $\frac{23}{150}\times100\%\approx15.33\%\approx15\%$. So this statement is correct.

Answer:

A. 37% of all students do not use school buses
B. 66% of students in grade 12 use school buses
D. 34% of students who use school buses are in grade 10
E. 15% of all students are in grade 11 and do not use school buses