SOLUTION: Write a function rule for (1,1) (2,0.5) (4,.25) No answer I come up with works for all 3. Trying to help my little sister with her math homework. The most recent math I've d

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Question 899663: Write a function rule for (1,1) (2,0.5) (4,.25)
No answer I come up with works for all 3.
Trying to help my little sister with her math homework. The most recent math I've done is calculus, and it's been a couple years.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
The rule is y = 1/x

(1,1) ----> (x,y) = (1,1) ----> x = 1, y = 1

y = 1/x
1 = 1/1 ... plug in (x,y) = (1,1)
1 = 1 ... works

---------------------

(2,0.5) ----> (x,y) = (2,0.5) ----> x = 2, y = 0.5

y = 1/x
0.5 = 1/2 ... plug in (x,y) = (2,0.5)
0.5 = 0.5 ... works

---------------------

(4,0.25) ----> (x,y) = (4,0.25) ----> x = 4, y = 0.25

y = 1/x
0.25 = 1/4 ... plug in (x,y) = (4,0.25)
0.25 = 0.25 ... works

---------------------

So this confirms that the rule is y = 1/x

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