Allen is on the football team this year but he has poor time management skills. His mother told him that he is off the team if he fails anything in school. On his first math quiz he earned a 90, then he earned an 86 and an 82 on his next two quizzes. If his grades continue at this rate, what will his quiz grade be after the 8th quiz? Will he still be on the team? *
2 points
Answers
Answer:
AFTER 8TH QUIZ HIS POINTS WILL BE 66
Step-by-step explanation:
IN HIS 1ST QUIZ=90 POINTS
2ND QUIZ=86, WHICH IS 90-4
3RD QUIZ=82, WHICH IS 86-4
4TH QUIZ=82-4=78
5TH QUIZ=78
6TH QUIZ=78-4=74
7TH QUIZ=74-4=70
8TH QUIZ=70-4=66
SO,
AFTER 8TH QUIZ HIS POINTS WILL BE 66
I THINK HE WILL BE IN THE TEAM,
BECAUSE
HE DOESN'T PERFORMED SUCH A FAILURE RESULT
I HOPE YOU UNDERSTOOD THE QUESTION
Given:
Allen's grade in first quiz = 90
Allen's grade in second quiz = 86
Allen's grade in third quiz = 82
To find:
Allen's grade after his 8th quiz.
Solution:
On observing the grades, we can conclude that Allen's grade drop by 4 after every quiz, hence this will be an arithmetic progression whose 8th term will be:
= 90 + (8-1)*(-4)
= 90 + 7*(-4)
= 90 - 28
= 62
Since his score is 62, he will remain in the team as he will not fail anything in his school.