Question

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. What GPA would an inverse relation predict for a student who watches 24 hours of tv a week

A) 2.19
B) 2.47
C) 2.60
D) 2.88
E) 3.12

Answer 1

option A)

2.19

Explanation:

Given that,

there is an inverse relationship between TV time and GPA as researched by Sarah.

Tv time = k / GPA

where k is constant

Find k

A student who watched 15 hours of TV per week can be expected to have a GPA of 3.5

15 = k / 3.5

k = 52.5

GPA for student who watches 24 hours of tv a week

24 = 52.5 / GPA

GPA = 52.5 / 24

= 2.187

≈ 2.19