SOLUTION: Each set of ordered pairs represents a function. Write a rule that represents the function. (2,10), (4,20), (5,25), (7, 35), (9, 45)

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Question 1195887: Each set of ordered pairs represents a function. Write a rule that represents the function.
(2,10), (4,20), (5,25), (7, 35), (9, 45)
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

(,), (,), (,), (, ), (, )
A relation is a function if it relates every element in its domain to one and only one element in the range.
Domain:{2,4,5,7,9}
Range:{10,20,25,35,45}
every element in its domain to one and only one element in the range
The list of ordered pairs is a function.
check if a function is linear

use (,), (,) and calculate a slope



use point slope form to find equation

.... ... plug in the coordinates of the point (,)




a rule that represents the function is:



Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.
Each set of ordered pairs represents a function. Write a rule that represents the function.
(2,10), (4,20), (5,25), (7, 35), (9, 45)
~~~~~~~~~~~~~~ 


What is written in this post, is soup of words.


First statement in the post is INCORRECT.

It is incorrect, because NOT EACH set of ordered pairs represents a function.


For example, this set of ordered pairs  (1,2), (1,3), (1,4) does not represent a function.


But the set GIVEN in the post DOES represent a function, since first elements 
of the pairs are all different.



In the given case, the "value" (the second element of each pair) 
is five times the respective "argument" (the first element of the pair).


    THEREFORE, in this case,  the rule (the formula for the function) is

                   y = 5x.               ANSWER

Solved, answered and explained.



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