SOLUTION: what function could represent the values shown in the table X 1,2,3,4,5 Y 1,4,7,10,13

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Question 1203595: what function could represent the values shown in the table
X 1,2,3,4,5
Y 1,4,7,10,13
Found 3 solutions by MathLover1, ikleyn, math_helper:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

what function could represent the values shown in the table
|,,,,
|,,,,

By observing the given table of values, we can determine the relationship between the -values and -values

as you can see, if we multiply -values by , then deduct , we will get -values




:
so, function is:


Answer by ikleyn(52797)   (Show Source): You can put this solution on YOUR website!
.

Notice that the numbers 1,4,7,10,13 form an arithmetic progression with the common difference of 3:

    4-1 = 3;  7-4 = 3;  10-7 = 3;  13-10 = 3.


So, you can use the standard formula for the n-th term of an AP

    Y = 1 + 3*(X-1),  which is the same as  Y = 3X -2,  X = 1,2,3,4,5.


Or, if you don't know about arithmetic progression, you can guess the formula
and check its validity directly on your own.

Solved.

Enjoy and have fun.



Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!


One possible function is  Y = 3X - 2



 

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