Question

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

A. The rate of change is 6 percent per exam.
B. The rate of change is 2 percent per exam.
C. The rate of change is 12 percent per exam.
D. The rate of change is about 5.5 percent per exam.

Answer 1

The average rate of change of Isaac's exam scores from the first to the third exam is calculated as (84 - 72) / (3 - 1), which equals 6 percent per exam, corresponding to option A.

Step-by-step explanation:

The question asks to calculate the average rate of change of Isaac's exam scores from his first to his third exam. To do this, we need to look at the scores for exams 1 and 3 listed in the question, which are 72% and 84% respectively. The formula for the average rate of change is the change in value divided by the change in the number of exams:

Average Rate of Change = (Final value - Initial value) / (Final exam number - Initial exam number)

Plugging in Isaac's scores, we get:

Average Rate of Change = (84 - 72) / (3 - 1) = 12 / 2 = 6

Therefore, the average rate of change of Isaac's exam scores between his first and third exams is 6 percent per exam, which corresponds to option A.