Edgar is getting better at math. On his first quiz he scored 57. He then scored 61 and 65 on his next two quizzes. If his scores continue to increase at the same rate, what will be his score on the 9th quiz?(1 point)

Responses

Edgar will score 89 on his 9th math quiz.
Edgar will score 89 on his 9th math quiz.

Edgar will score 69 on his 9th math quiz.
Edgar will score 69 on his 9th math quiz.

Edgar will score 85 on his 9th math quiz.
Edgar will score 85 on his 9th math quiz.

Edgar will score 100 on his 9th math quiz.
Edgar will score 100 on his 9th math quiz.

1 answer

To determine Edgar's score on his 9th quiz, we first need to analyze the pattern in his scores:

  1. First Quiz: 57
  2. Second Quiz: 61
  3. 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.