Suppose a teacher finds that the

scores of your students got on a quiz

inversely with the number of

absences they had.

If a student with 2 absences has a

score of 12, what would be the score

for a student who had three absences?

Reverse variation

Scores = 8

Step-by-step explanation:

To solve variation problems, you make mild assumptions and analogies

Let's score be represented with S

Let's Absences be represented with A.

Therefore

S varies inversely as A

S ~ 1/A

S = K/A

The K represents a contant notation so that we can easily figure the variation problem.

When Absences were 2

Scores were 12

S = K/A

12 = K / 2

Cross Multiply.

K = 24.

It means that, S = 24 / A.

For a student with 3 absences, the score would be:

S = 24 / A

S = 24 / 3

S = 8

Math is fun!