Sarah is researching the connection between the time students spend watching television and their performance in school. Her studies indicate that there is an inverse relationship between TV time and GPA, and that a student who watched 15 hours of TV per week can be expected to have a GPA of 3.5. Find k, the constant of variation, for this relationship.

A) 0.23

B) 4.29

C) 8.1

D) 52.5

Question

Louis Davenport

Mathematics

29 October, 17:58

Sarah is researching the connection between the time students spend watching television and their performance in school. Her studies indicate that there is an inverse relationship between TV time and GPA, and that a student who watched 15 hours of TV per week can be expected to have a GPA of 3.5. Find k, the constant of variation, for this relationship.

A) 0.23

B) 4.29

C) 8.1

D) 52.5

+2

Answers (1)

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Giovanna Farrell · Answer 1

Her studies indicate that there is an inverse relationship between TV time and GPA, and that a student who watched 15 hours of TV per week can be expected to have a GPA of 3.5

In equation form

15 = k (1/3.5)

Solve for k

K = 15 * 3.5

K = 52.5 is the constant of variation