Questions: Yvette has scores of 71, 72, 66, and 80 on her computer tests. Find the score she can make on the final exam in order to pass the course with at least 360 points. The final exam counts as two test grades. In order to pass the course with at least 360 points, her score on the final exam must be at least points. (Type an integer or a decimal.)

Solution Steps

To find the score Yvette needs on her final exam to pass the course with at least 360 points, we first calculate the total points she has from her current test scores. Then, we determine how many points she needs from the final exam by subtracting her current total from 360. Since the final exam counts as two test grades, we divide the required points by 2 to find the minimum score she needs on the final exam.

Yvette's current test scores are \( 71, 72, 66, \) and \( 80 \). The total points she has from these tests can be calculated as follows:

\[ \text{Current Total} = 71 + 72 + 66 + 80 = 289 \]

To pass the course, Yvette needs at least \( 360 \) points. The points she still needs can be calculated by subtracting her current total from the required points:

\[ \text{Points Needed} = 360 - 289 = 71 \]

Since the final exam counts as two test grades, the minimum score Yvette needs on the final exam can be found by dividing the points needed by \( 2 \):

\[ \text{Final Exam Score} = \frac{71}{2} = 35.5 \]

Final Answer