An English instructor asserted that​ students' test grades are directly proportional to the amount of time spent studying. Lisa studies 9 hr for a particular test and gets a score of 72. At this​ rate, how many hours would she have had to study to get a score of 96​?

Respuesta :

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]


Q&A Education