Question

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

Answer 1

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

Answer 2

The Table 1 represents the function because every $x$ value corresponds to exactly one $y$ 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 $y=f(x)$ the independent variable is represented by $x$ and the dependent variable is represented by $y$.

The ordered pair of the form $(x,y)$ represent the set of pairs which defines the function.

The set of all the values of $x$ is called the domain of the function and the set of all the value of $y$ is called the range of the function

The function between $x$ and $y$ can be written as follows:

$\boxed{y=f(x)}$

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

For $10$ hour of training the monthly pay is $1220$ and for $20$ hour of training the monthly pay is $1420$.

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 brainly.com/question/3412497

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

3. Learn more about problem on triangle 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.