SOLUTION: Which of the following represents the data in the table? x y 3 5 6 2 1/2 9 1 2/3 12 1 1/4 15 1 a) xy = 3 b)y = 15x c) y = 15 / x

Algebra ->  Rational-functions -> SOLUTION: Which of the following represents the data in the table? x y 3 5 6 2 1/2 9 1 2/3 12 1 1/4 15 1 a) xy = 3 b)y = 15x c) y = 15 / x       Log On


   



Question 318313: Which of the following represents the data in the table?

x y
3 5
6 2 1/2
9 1 2/3
12 1 1/4
15 1

a) xy = 3
b)y = 15x
c) y = 15 / x
d)15 = x / y




Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!


x y 
3 5
6 2 1/2
9 1 2/3
12 1 1/4
15 1 

a) xy+=+3
b) y+=+15x
c) y+=+15+%2F+x
d) 15+=+x+%2F+y

We try substituting x=3 and y=5 to see which ones give true results:

a) 
   xy+=+3 
   3%2A5=15  
   
   5+=+15%2A3
   5+=+45

That's false so we've ruled out b 

c) 
   y+=+15+%2F+x
   5+=+15%2F3
   5+=+5

So c is true, so we haven't ruled out c yet 
     
d) 
   15+=+x+%2F+y 
   15+=+3+%2F+5

That's false so we've ruled out d

So the correct choice is either a or c:

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

Let's try the easiest values:

We try substituting x=15 and y=1 to see which ones give true results:

a) 
   xy+=+3 
   15%2A1=3  
   15+=+3

That's false so we've ruled out a. So the answer is c.

Edwin