Question

Blaire needs more than 600 total points on assignments in her math class to pass. She only has 200 points and needs to do some extra credit assignments that are worth 50 points each.

Answer 1

Blaire needs to complete at least 9 extra credit assignments at 50 points each in order to earn more than 600 total points and pass her math class.

Step-by-step explanation:

The student is inquiring about a mathematical situation involving the accumulation of points to pass a math class. To calculate how many extra credit assignments Blaire needs to complete to achieve more than 600 points, we must subtract the points she currently has (200 points) from the total points required to pass (>600 points). Let's denote the number of extra credit assignments Blaire needs to complete as n. Each extra credit assignment is worth 50 points, therefore, 50n + 200 > 600 is the inequality that represents this situation.

To find the minimum number of extra credit assignments, we solve this inequality for n. Subtract 200 from both sides to get 50n > 400. Then divide by 50 to get n > 8. Since Blaire cannot complete a fraction of an assignment, she must do at least 9 extra credit assignments to pass the class with more than 600 points.