Exam Grades

Question

Hours of Study Exam Grade
1 78
2 80
3 78
3 82
4 84
5 86

According to the table, is the exam grade a function of the number of hours spent studying?
Responses
A Yes, it is a function because no one failed the test.Yes, it is a function because no one failed the test.
B Yes, it is a function because the student who studied more hours made the best grade.Yes, it is a function because the student who studied more hours made the best grade.
C Yes, it is a function because the exam grade increases by 2 points for each hour studied.Yes, it is a function because the exam grade increases by 2 points for each hour studied.
D No, it is not a function because the input value of 3 hours has 2 different output values of 78 and 82.No, it is not a function because the input value of 3 hours has 2 different output values of 78 and 82.
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Answer 1

In mathematics, a relationship is a function if each input corresponds to exactly one output. In this case, the input is the number of hours studied, and the output is the exam grade.

Looking at the provided table:

• For 1 hour studied, the grade is 78.
• For 2 hours studied, the grade is 80.
• For 3 hours studied, there are two different grades: 78 and 82.
• For 4 hours studied, the grade is 84.
• For 5 hours studied, the grade is 86.

Since the input of 3 hours studied has two different corresponding exam grades (78 and 82), the relationship is not a function.

Therefore, the correct response is:

D. No, it is not a function because the input value of 3 hours has 2 different output values of 78 and 82.