SOLUTION: ordered pairs (1,81), (2,100), (3,121), (4,144), (5,169) what is the rule that represents this function? Could you please help so I can help my daughter understand. Thank-you Is i

Algebra ->  Functions -> SOLUTION: ordered pairs (1,81), (2,100), (3,121), (4,144), (5,169) what is the rule that represents this function? Could you please help so I can help my daughter understand. Thank-you Is i      Log On


   



Question 526701: ordered pairs (1,81), (2,100), (3,121), (4,144), (5,169) what is the rule that represents this function? Could you please help so I can help my daughter understand. Thank-you
Is it y=8x?

Found 2 solutions by jim_thompson5910, josmiceli:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The rule is y+=+%28x%2B8%29%5E2 so you were close.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1,81), (2,100), (3,121), (4,144), (5,169)
Rewrite these as:
(1,9^2), (2,10^2), (3,11^2), (4,12^2), (5,13^2)
Notice that:
+9+=+8+%2B+1+
+10+=+8+%2B+2+
+11+=+8+%2B+3+
+12+=+8+%2B+4+
+13+=+8+%2B+5+
--------------
The rule looks like
+sqrt%28y%29+=+x+%2B+8+
Now square both sides
+y+=+%28+x+%2B+8+%29%5E2+
+y+=+x%5E2+%2B+16x+%2B+64+
You can check this with any of the given points
(3,121)
+y+=+x%5E2+%2B+16x+%2B+64+
+121+=+3%5E2+%2B+16%2A3+%2B+64+
+121+=+9+%2B+48+%2B+64+
+121+=+121+