A total of 400 students were surveyed at a college to see if they live in on-campus dorms or if they live off-campus. The table shows the results of the survey
Freshman
Dorms Off-Campus Total
88 12 100
62 38 100
Sophomore
Junior
43
57
100
Senior
25
75
100
Total
218
182
400
What percentage of the students surveyed live off-campus?
O A 18.2%
O B. 41.2%
O c. 45.5%
OD. 83.5%

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

c.

step-by-step explanation: