To determine Edgar's score on his 9th quiz, we first need to analyze the pattern in his scores:
- First Quiz: 57
- Second Quiz: 61
- Third Quiz: 65
Now, we can find the difference between each consecutive score:
- From 57 to 61, the increase is \(61 - 57 = 4\).
- From 61 to 65, the increase is \(65 - 61 = 4\).
This shows that Edgar's scores are increasing by 4 points on each quiz.
To project his scores, we can continue adding 4 points to each subsequent score:
- 4th Quiz: \(65 + 4 = 69\)
- 5th Quiz: \(69 + 4 = 73\)
- 6th Quiz: \(73 + 4 = 77\)
- 7th Quiz: \(77 + 4 = 81\)
- 8th Quiz: \(81 + 4 = 85\)
- 9th Quiz: \(85 + 4 = 89\)
Thus, Edgar will score 89 on his 9th math quiz.
The answer is: Edgar will score 89 on his 9th math quiz.