Use the table to answer the question.

Question

Students Seacoast Mountains Totals
7th Grade 60 40 100
8th Grade 90 110 200
Totals 150 150 300
Gloria surveyed all of the campers to determine their preferred field trip. The results are displayed in the table. Which of the following is a relative frequency that can be found with the table? Round the percentage to the nearest tenth.

(1 point)
Responses

70% of the people who preferred mountains were 8th graders.
70% of the people who preferred mountains were 8th graders.

90% of 8th-grade campers preferred the seacoast.
90% of 8th-grade campers preferred the seacoast.

32% of 7th-grade campers preferred the mountains.
32% of 7th-grade campers preferred the mountains.

40% of the people who preferred the seacoast were 7th graders.

Answer 1

To calculate the relative frequencies mentioned in the options, we can use the data from the table.

1. 70% of the people who preferred mountains were 8th graders.
   Total number of students who preferred mountains = 150
   Number of 8th graders who preferred mountains = 110
   Relative frequency = (Number of 8th graders who preferred mountains / Total number who preferred mountains) * 100
   = (110 / 150) * 100 = 73.3%

   This is approximately 73.3%, so this option is not correct.

2. 90% of 8th-grade campers preferred the seacoast.
   Total number of 8th graders = 200
   Number of 8th graders who preferred seacoast = 90
   Relative frequency = (Number of 8th graders who preferred seacoast / Total number of 8th graders) * 100
   = (90 / 200) * 100 = 45%

   This option is not correct.

3. 32% of 7th-grade campers preferred the mountains.
   Total number of 7th graders = 100
   Number of 7th graders who preferred mountains = 40
   Relative frequency = (Number of 7th graders who preferred mountains / Total number of 7th graders) * 100
   = (40 / 100) * 100 = 40%

   This option is not correct.

4. 40% of the people who preferred the seacoast were 7th graders.
   Total number of people who preferred seacoast = 150
   Number of 7th graders who preferred seacoast = 60
   Relative frequency = (Number of 7th graders who preferred seacoast / Total number who preferred seacoast) * 100
   = (60 / 150) * 100 = 40%

   This option is correct.

Thus, the correct answer is: 40% of the people who preferred the seacoast were 7th graders.