### Home > AC > Chapter 8 > Lesson 8.1.4 > Problem8-39

8-39.

As Jhalil and Joman practice for the SAT, their scores on practice tests rise. Jhalil’s current score is $850$, and it is rising by $10$ points per week. On the other hand, Joman’s current score is $570$ and is growing by $50$ points per week.

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

Jhalil's score will be defined by the expression $850 + 10x$, since her initial score was $850$ and it increases by $10$ points each week. Joman's score, on the other hand, will be defined by the expression $570 + 50x$, since his initial score was $570$ and it increases by $50$ each week.

$850+10x=570+50x$

$x=7$

2. If the SAT test is in $12$ weeks, who will score highest?

Insert $12$ for $x$ in the equation found in part (a) to see who will have the higher score.