Question

Neil took 3 math tests this year. The number of hours he spent studying for each test and the corresponding grades he earned are shown in the table. Is the relation of hours of study time to grade earned on a tae a function? Explain why. Use the graph to justify your answer.

Answer 1

The relation of hours of study time to grade earned on a test is a function.

Step-by-step explanation:

Based on the given information, we can determine if the relation of hours of study time to grade earned is a function by analyzing the graph and the data in the table. In a function, each input (study time in this case) has only one output (grade earned). If we observe that there are no repeated inputs with different outputs, then the relation is a function. Looking at the table, we can see that the study time values are different for each test, and the corresponding grades earned are also different. Therefore, we can conclude that the relation of hours of study time to grade earned is a function.

If we examine the graph, we can see that for each study time value on the x-axis, there is only one corresponding grade earned value on the y-axis. There are no instances where two different grades are associated with the same study time value. This is another confirmation that the relation is a function.

Answer 2

No, it is not a function

Step-by-step explanation:

A function can be seen on a graph when each X variable only corresponds to one Y variable. On this graph, the hours spent studying is your X, and when we look at the chart, we can see that there are 2 times he spent 6 hours studying, but they have 2 different grades. Let it be known that the same Y variable CAN correspond to more than one X variable, but not the other way around.