math sat problem from 07-09

<p><a href="http://www.collegeboard.com/prod_downloads/prof/counselors/tests/sat/2007-08_sat_preparation_booklet.pdf%5B/url%5D"&gt;http://www.collegeboard.com/prod_downloads/prof/counselors/tests/sat/2007-08_sat_preparation_booklet.pdf&lt;/a&gt;&lt;/p>

<p>section 2 number 17
Is this just find the equation of the line and then get the value between x=7 and x=8, subtract and you get 1/3?</p>

<p>section 2, # 18 0<= x <=y and (x+y)²-(x-y)²>=25</p>

<p>I got it down to xy>= 25/4, I'm not sure what would trigger someone to take the squreroot of both sides and get the answer to 5/2. Thanks!</p>

<p>For 17, I would just find the difference in water level then divide by # of pails.</p>

<p>For 18, once you get down to that equation, for me it’s just intuitive that y could not be greater than 5/2, given the restriction 0 < x < (or equal to) y.</p>

<p>could nto be less than you mean?</p>

<p>i guess logically speaking you could use indirect proportions o<=x<=y
the smallest possible y value woudl be when they’re equal…
say k=25 yx=25, if y=x then 5, 5
if y>x then the smallest value would be above. Persay 25/4.9 where 4.9=x and 5.102~ would be y?
And as you decrease the value of x… y has to increase to compensate… meh</p>

<p>I don’t know why i couldn’t think of this intuitively though>.></p>

<p>Yes, that’s what I meant, sorry. And yes, that’s where I was going with that.</p>