Patrick noticed a correlation between the number of hours he spends studying and his exam score. The table below shows his findings.

No. of Hours 1 2 3 4
Exam Score 81 85 89 93

What will he score on an exam if he doesn't spend any time studying?
A.
97
B.
77
C.
81
D.
4

1 answer

To find Patrick's exam score if he doesn't spend any time studying (0 hours), we can look at the trend in the data provided.

Based on the data:

  • Hours studied: 1 hour -> Exam score: 81
  • Hours studied: 2 hours -> Exam score: 85
  • Hours studied: 3 hours -> Exam score: 89
  • Hours studied: 4 hours -> Exam score: 93

It appears that as the number of study hours increases by 1, the exam score increases by 4 points.

To find the score at 0 hours, we can extend this trend backwards:

  • If 1 hour results in a score of 81, subtracting the increase of 4 points for the additional hour (moving from 1 hour to 0 hours) gives:

    81 - 4 = 77

Therefore, if he doesn't spend any time studying, we can predict that he would score 77.

Thus, the answer is B. 77.