Question
10 1100
20 1200
30 1300
40 1400
50 1500
60 1600
70 1700
Hours Monthly
Of Pay
Training
Does this table represent a function? Why or why not?
20 1200
30 1300
40 1400
50 1500
60 1600
70 1700
Hours Monthly
Of Pay
Training
Does this table represent a function? Why or why not?
Answers
GPT-4o mini
Yes, the table represents a function.
In the context of mathematics, a function is defined as a relationship between two sets of values where each input (or independent variable) is associated with exactly one output (or dependent variable). In this table, the "Hours of Training" represents the input (independent variable), and the "Monthly Pay" represents the output (dependent variable).
Every unique number of training hours corresponds to exactly one monthly pay amount. For example, 10 hours of training corresponds to $1100, 20 hours corresponds to $1200, and so on. There are no instances where the same number of training hours maps to more than one monthly pay amount.
Thus, because each value in the "Hours of Training" column (input) is paired with exactly one value in the "Monthly Pay" column (output), this table does indeed represent a function.
In the context of mathematics, a function is defined as a relationship between two sets of values where each input (or independent variable) is associated with exactly one output (or dependent variable). In this table, the "Hours of Training" represents the input (independent variable), and the "Monthly Pay" represents the output (dependent variable).
Every unique number of training hours corresponds to exactly one monthly pay amount. For example, 10 hours of training corresponds to $1100, 20 hours corresponds to $1200, and so on. There are no instances where the same number of training hours maps to more than one monthly pay amount.
Thus, because each value in the "Hours of Training" column (input) is paired with exactly one value in the "Monthly Pay" column (output), this table does indeed represent a function.