Answer: 12 hours.
Step-by-step explanation:
1. The direct proportion has the following form:
[tex]y=kx[/tex]
Where k is the constant of proportionality.
2. Let's call the student's test grade [tex]y[/tex] and the amount of time spent studying [tex]x[/tex], then if Lisa studies 9 hr for a particular test and gets a score of 72, you can find k:
[tex]k=\frac{9}{72}=8[/tex]
3. Then, the amount of time she have had to study to get a score of 96 is:
[tex]96=8x\\x=12[/tex]