(a).

Without studying, Jarrick starts at a score of .

For every  complete minutes that he spends in studying,  raise in his score.

Since fraction of  minutes will not increase his score, the greatest integer function is used to find out how many times he spends complete minutes studying out of a total of minutes.

Thus, his score  after studying for minutes can be found using .

Jarrik wants to obtain a score of ,then the inequality equation can be written as :

.

(b).

The inequality equation is .

Since , Jarrick will need to spend  minutes in studying for the test.

(a).

.

(b).

Since , Jarrick will need to spend  minutes in studying for the test.