### Home > AC > Chapter 8 > Lesson 8.1.4 > Problem 8-39

8-39.

As Jhalil and Joman practice for the SAT, their scores on practice tests rise. Jhalil’s current score is

When will Joman's score catch up to Jhalil's?

Jhalil's score will be defined by the expression

, since her initial score was and it increases by points each week. Joman's score, on the other hand, will be defined by the expression , since his initial score was and it increases by each week. If the SAT test is in

weeks, who will score highest? Insert

for in the equation found in part (a) to see who will have the higher score.