The table represents a linear function. What is the constant rate of change?

$\frac{5}{1}$
$\frac{1}{5}$
10
0

The correct answer is: $5 over 1$

$5 over 1 space i s space t h e space c o r r e c t space c h o i c e r a t e space c h a n g e space equals space fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction a space right parenthesis space r a t e space c h a n g e equals fraction numerator 20 minus 10 over denominator 4 minus 2 end fraction equals 10 over 2 space equals 5 over 1 b right parenthesis space space r a t e space c h a n g e equals space fraction numerator 40 minus 20 over denominator 8 minus 4 end fraction equals 20 over 4 equals 5 over 1 a l w a y s space i t space w i l l space c o m e s space 5 over 1 space w h e n space w e space t a k e space c o r e s p o n d i n g space x comma space y space v a l u e space s o space space c o n s tan t space r a t e space o f space c h a n g e equals 5 over 1$

What is the definition of function?

Let us consider a function that defined as $f space colon space X rightwards arrow Y.$ then, the representation may exist as shown below.
func-diag (y=sqrt x)
Hence, Every object x that belongs to the set of inputs has exactly one object y that belongs to the set of outputs.
*** Hence, the technical definition of the function is a relation from a set of i9nputs to set of possible outputs where each input is related to exactly one output.