HMMT 二月 2000 · GEN 赛 · 第 9 题
HMMT February 2000 — GEN Round — Problem 9
题目详情
英文原题
- Edw ard's form ula for the sto k mark et predi ts orre tly that the pri e of HMMT isdire tly prop ortional to a se ret quan tit y x and in v ersely prop ortional to y , the numberof hours he slept the nigh t b efore. If the pri e of HMMT is $12 when x = 8 and y = 4,
ho w man y dollars do es it ost when x = 4 and y = 8?
解析
英文解析
- Let p be the pri e of HMMT. So p = k , where k is a onstan t to be determined. W eykno w that when x = 8 and y = 4 that p = 12, so, solving for k , we nd that k = 6. So,
when x = 4 and y = 8, we nd that p = 6 = 3 .4 8