Question

The grade that a student scores on her math test is inversely proportional to the number of hours a week that she plays video games. She scores a 73.6 on a test when she plays 10 hours of video games per week. If this relationship continues at the same rate, what score can she expect on her math test if she plays video games for only 8 hours a week?

Answer 1

Let her score on her math test be y and the number of hours a week that she plays video games be x,

y = k/x
73.6 = k/10
k = 736

y = 736/x
y = 736/8
y = 92

She can expect a score of 92 on her math test if she plays video games for only 8 hours a week.