Does this table represent a function? Why or why not?

By definition we have to:

A mathematical function is a relationship that is established between two sets, through which each element of the first set is assigned a single element of the second set or none.
The initial set or starting set is also called the domain; the final set or set of arrival, meanwhile, can be called codomain.

For this case, the table represents a function and the function is linear because the rate of change (slope) is constant and equal to 200.

Answer:
option D

AkhileshT AkhileshT · Answer 2 · 2019-09-06T06:15:24+02:00

The Table 1 represents the function because every [tex]x[/tex] value corresponds to exactly one [tex]y[/tex] value.

Further explanation:

Given:

The number of hours of training and monthly pay is shown in attached Table 1.

Calculation:

A function is defined as a relation between the independent variable and the dependent variable.

In a function of the form [tex]y=f(x)[/tex] the independent variable is represented by [tex]x[/tex] and the dependent variable is represented by [tex]y[/tex].

The ordered pair of the form [tex](x,y)[/tex] represent the set of pairs which defines the function.

The set of all the values of [tex]x[/tex] is called the domain of the function and the set of all the value of [tex]y[/tex] is called the range of the function

The function between [tex]x[/tex] and [tex]y[/tex] can be written as follows:

[tex]\boxed{y=f(x)}[/tex]

From the attached Table 1, it can be seen that for every hour of training there is exactly unique monthly pay.

For [tex]10[/tex] hour of training the monthly pay is [tex]1220[/tex] and for [tex]20[/tex] hour of training the monthly pay is [tex]1420[/tex].

Similarly, for every hour of training exactly one monthly pay.

It can be seen from Table 1 that the relationship between the number of hour of training and monthly pay is a function because there is only unique monthly pay for every hour of training.

Learn more:

1. Learn more about function https://brainly.com/question/3412497

2. Learn more about problem on range of function https://brainly.com/question/1435353

3. Learn more about problem on triangle https://brainly.com/question/7437053

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Function

Keywords: Functions, monthly pay, hours, training, exactly, unique, function, independent, dependent, variable, relationship, output, x- value, y-value.