Final answer:
To calculate the student's new overall grade, you multiply the current grade and the EOC test grade by their respective weights and add them together, resulting in a new overall grade of 65.5%.
Step-by-step explanation:
To find the new overall grade after taking an EOC (End-of-Course) test that is worth 25% of the overall grade, you can use the weighted average formula. If the current overall grade is 70% (which represents 75% of the overall grade) and the EOC test grade is 52% (which represents 25% of the overall grade), you can calculate the new grade as follows:
- Current overall grade portion: 70% × 0.75 = 52.5%
- EOC test grade portion: 52% × 0.25 = 13%
Add both portions together to get the new overall grade:
52.5% + 13% = 65.5%
Therefore, the student's new overall grade would be 65.5%.