Isaac knew he had to to study more in order to improve his math grades. Calculate the average rate of change over the interval from his first exam to his third exam.
Exam Number Score (%)
1 72
2 75
3 84
4 87
5 94
(84-72)/(3-1) = 6 pts/exam
To calculate the average rate of change over the interval from his first exam to his third exam, we need to find the change in scores and divide it by the change in exam numbers.
First, we find the change in scores:
Change in score = Final score - Initial score = 84 - 72 = 12.
Next, we find the change in exam numbers:
Change in exam numbers = Final exam number - Initial exam number = 3 - 1 = 2.
Now, we can calculate the average rate of change by dividing the change in scores by the change in exam numbers:
Average rate of change = Change in score / Change in exam numbers = 12 / 2 = 6.
Therefore, the average rate of change over the interval from his first exam to his third exam is 6.