### 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?

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

Write two equations representing their scores.
Jhalil: $y = 10x + 850 x =$ time (weeks)
Joman: $y = 50x + 570 y =$ score (points)

Set the two equations equal to each other and solve for $x$.

Substitute $12$ for $x$ in both the equations and compare the outcomes.