Question

According to the table, is the exam grade a function of the number of hours spent studying?

A) 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
C)Yes, it is a function because the exam grade increases by 2 points for each houn studied.
Dy No, it is not a function because the input value of hours has 2 different output values of 78 and 821

Answer 1

The table provided represents the relationship between studying hours and exam grades. Option C) provides a valid reason to conclude that it is a function.

Step-by-step explanation:

The table provided in the question represents the relationship between the number of hours spent studying and final exam grades. To determine if the exam grade is a function of the number of hours spent studying, we need to examine the given options:

1. Yes, it is a function because no one failed the test. This option does not provide any information about the relationship between studying hours and exam grades, so it is not a valid reason to conclude that it is a function.
2. Yes, it is a function because the student who studied more hours made the best grade. This option implies a positive correlation between studying hours and exam grades, which suggests a possible function.
3. Yes, it is a function because the exam grade increases by 2 points for each hour studied. This option explicitly states a linear relationship between studying hours and exam grades, confirming that it is a function.
4. No, it is not a function because the input value of hours has 2 different output values of 78 and 82. This option states that for a certain number of hours studied, there are two different exam grades, which violates the definition of a function.

Based on the given options, the correct answer is option C) Yes, it is a function because the exam grade increases by 2 points for each hour studied.