HELP me solve this SAT math problem

Discus: SAT/ACT Tests and Test Preparation: April 2004 Archive: HELP me solve this SAT math problem
 By Shhh (Shhh) on Tuesday, March 30, 2004 - 09:09 pm: Edit

This is from Ten Real SATs. Its the 1997 test.

If y=1 + (1/x)
and x>1 then Y could equal...

Does anyone know why?

 By Sabinscabin (Sabinscabin) on Tuesday, March 30, 2004 - 09:47 pm: Edit

since x > 1 then 1/x has to be < 1

so the answer has to be between 1 and 2

 By Kevinkleinz (Kevinkleinz) on Tuesday, March 30, 2004 - 10:43 pm: Edit

Hmm...are you sure it's 9/7? Because y = 1 + (1/x) = (x + 1)/x

So the numerator would seemingly have to be one more than the denominator...which isn't exactly satisfied with 9/7...

 By Kevinkleinz (Kevinkleinz) on Tuesday, March 30, 2004 - 10:45 pm: Edit

I mean...technically, x COULD equal 3.5, which would make (x + 1)/x = 9/7. But...this question is a little odd. Was this a multiple choice question?

 By Aim78 (Aim78) on Tuesday, March 30, 2004 - 11:40 pm: Edit

You're going to have to type up the FULL question, because as it is the answer could anywhere between 1 and 2.

 By Shhh (Shhh) on Wednesday, March 31, 2004 - 02:49 pm: Edit

ya its multiple choice...hmm i see how that is now. I would expect X to be a whole number.

The other choices are
1/7
5/7
15/7
19/7

Oh and its from the Sunday May 1996 test

Its section 1 and its number 17

 By Xforce (Xforce) on Thursday, April 01, 2004 - 01:51 am: Edit

9/7 is the only solution between 1 and 2

 By Andrew123s (Andrew123s) on Friday, April 02, 2004 - 03:40 pm: Edit

Kevinkleinz, 9/7 is a fraction where the numerator is not one greater than the denominator, but 4.5/3.5 is, and they are equal.