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An educational study suggests that “a student's test grade is related to the amount of time
spent on practice prior to testing." Can you determine whether or not this statement represents
a function or simply a relation? Use a table, mapping, or set of ordered pairs to defend your
conclusion.

Sagot :

MrRoyal

All functions are regarded as relations. However, not all relations are regarded as functions

The statement is just a function; not just a relation.

The points from the statement are:

  • Student's test grade
  • Time spent on practice

This means that the test grade is dependent on the amount of time, the student practice.

If a student practices for (say) 10 minutes, his test grade will be (say) 70%

Using the assumed values above; no other student can have a score of 70%, unless the student practices for 10 minutes.

This type of relation is called a many-to-one relation.

A many-to-one relation is not just a relation, it is also a function.

Consider the following many-to-one ordered pair:

[tex](x_1,y_1) \to (10, 70\%)[/tex]

[tex](x_2,y_2) \to (15, 75\%)[/tex]

[tex](x_3,y_3) \to (20, 85\%)[/tex]

[tex](x_4,y_4) \to (40, 100\%)[/tex]

[tex](x_1,y_1) \to (10, 75\%)[/tex]

Hence, the statement is a function.

Read more about functions and relations at:

https://brainly.com/question/6241820

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