April 2011 ACT Math Discussion

<p>rofl, I like how we pull out the same link SeekingUni.</p>

<p>@Nicolas, I used the coordinate that would give me the largest number (which was 4,0) and plugged it into the expression 4x+3y, and I got 16, which was the largest. It was a pure guess, but many seem to agree with it.</p>

<p>I know, what a coincidence! xD</p>

<p>My bad I misunderstood the question. I didn’t realize it was asking about the cross section-I thought it was asking about one of the resulting halves.</p>

<p>Okay, so you had a triangle right?</p>

<p>I think the equation was 4x + 3y = P</p>

<p>So, you choose a point in the shaded region of the triangle. You want to chose a point that gives you the maximum value for P, but it has to fit into those criteria listed. (the criteria were really general and it was actually hard to find a point that <em>didn’t</em> fit those criteria).</p>

<p>Anyway, the best point to pick was like (2,2.5). Plugging into the equation:
P = 4(2) + 3(2.5)
P = 15.5</p>

<p>I did this a few times cause it was easy, and I always got answers nearest to 16 so I went with that.</p>

<p>Does anyone know what letter 16 corresponded to on that question?</p>

<p>@hotpink Cutting a cone in half from the vertex would make a cross section of it anyway</p>

<p>No because when you take one of the halves and spread it flat on a table it has a curved bottom. I just did it with a funnel. The cross section had a flat bottom.</p>

<p>i can see how it could be either, curved bottom could be right</p>

<p>You don’t spread it flat on a table. A cone isn’t supposed to be flexible like your funnel is. You set it on its bottom (which is flat) and look at the outline – it’s a triangle with all straight edges.</p>

<p>Think of a SOLID cone, not a hollow one that you can manipulate. If you had a wooden cone, cut it in half from the vertex and then traced it, you’d have a triangle.</p>

<p>Last and final answer to this bloody cone question:</p>

<p>THE CONE CROSS-SECTION LOOKS LIKE A TRIANGLE. NO CURVES. IF THERE WAS A CURVE AT THE BOTTOM, THE CONE WOULD HAVE TO BE ROUND AT THE BOTTOM.</p>

<p>FINAL: TRIANGLE. NO CURVES.</p>

<p>Thank you :]</p>

<p>Not everybody is able to visualize things with such ease. There’s nothing wrong with us having to walk them through it.</p>

<p>The cone looked like it had a round bottom in the diagram, but 1, that was to make it look 3D and 2, it’s a trap that many people (obviously) fell for.</p>

<p>Okay that makes sense it’s just when I read the question I imagined a paper cone, much like a birthday hat. So I assumed it was asking what a half of that would look like when it was spread out.</p>

<p>i cant believe i missed this one, i was so pressed for time in math b/c of that ■■■■■■■■ rectangle question with an area of 80</p>

<p>^Learn to skip problems that take more than 30 seconds. There were 2 problems I immediately skipped because they didn’t make sense at first, but when I went back to them once I was done with everything else (finished way sooner), I had plenty of time to think through them.</p>

<p>^ Ditto. There were actually two in a row that I skipped, they were both 30-something, then came back and had enough time to at least eliminate some choices and make somewhat-educated guesses.</p>

<p>aren’t we all genuises in retrospect</p>

<p>the inequality graph was like 4x+3y and the maximum value was (4,0) so 4(4) +3(0) = 16?</p>

<p>@SeekingUni Thanks for your condescending attitude. No one said you “had” to walk me through it. I hope your superior attitude takes you far in life. </p>

<p>I got a 34 on my last ACT, but I’m sure you got a 36 on every single section. Congratulations, you’ve made your point that I’m not as intelligent as you simply because I did not understand the cone question. Cool.</p>

<p>^Pretty sure he wasn’t making fun of you with that post.</p>