In a certain math course, a student needs between 720 and 810 points in order to get a B. The final exam is worth 200 points. If Cathy has 582 points just before the finals, what range of scores on the final exam will give her a B for the course?
138-228
To determine the range of scores on the final exam that will give Cathy a B for the course, we need to find the minimum and maximum scores she can achieve on the final exam.
1. Find the minimum score Cathy needs to get a B:
- Subtract her current score, 582 points, from the lower limit for a B, 720 points:
720 - 582 = 138
- So, the minimum score Cathy needs on the final exam is 138 points.
2. Find the maximum score Cathy can achieve and still get a B:
- Subtract her current score, 582 points, from the upper limit for a B, 810 points:
810 - 582 = 228
- So, the maximum score Cathy can achieve on the final exam and still get a B is 228 points.
Therefore, the range of scores on the final exam that will give Cathy a B for the course is 138 to 228 points.