Final answer:
To calculate Ernest's new average score after an 8% increase from the last semester's 75 points, you add 8% of 75 (which is 6) to the original average, resulting in a new average score of 81 points.
Step-by-step explanation:
The question asks about calculating an average score for Ernest after his average has increased by a percentage. Last semester, Ernest earned an average of 75 points on his math tests. This semester, his average is 8% higher. To find the new average, you calculate 8% of 75 and add it to the original average.
First, calculate 8% of 75:
8% of 75 = 0.08 × 75 = 6
This represents the increase in the average score due to the 8% improvement. Now, add this increase to the original average to find the new average for this semester.
New average = Original average + Increase
New average = 75 + 6 = 81
Hence, Ernest's average score this semester is 81 points.