Eighty students were asked, "What is your favorite color?" The frequency table shows the
results of the survey. Complete a relative
frequency table to show the distribution of the
data with respect to all 80 students.
Frequency Table
Favorite
Color
Boys Girls Total
Red
18 22 40
Blue 10 14 24
Green 10 6 16
Total 38 42 80

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proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.