HiMCM真题.doc

Adolescent Pregnancy ? You are working temporarily for the Department of Health and Environmental Control. The director is concerned about the issue of teenage pregnancy in their region. You have decided that your team will analyze the situation and determine if it is really a problem in this region. You gather the following 2000 data. County Age 10-14Pregnant Age 15-17Pregnant Age 18- 19Pregnant Age 10-14births Age 15-17births Age 18-19births Age 10-14births-unmarried Age 15-17births-unmarried Age 18-19births-unmarried 1 29 350 571 17 281 437 16 164 193 2 24 303 567 13 206 466 13 151 233 3 40 422 691 29 307 546 28 251 366 4 21 201 356 18 184 326 15 137 180 5 16 156 357 11 109 254 10 99 161 6 44 523 970 33 442 803 32 293 396 7 17 263 434 9 201 345 7 113 168 8 23 330 427 16 256 444 14 160 210 9 13 123 221 10 113 199 9 78 106 10 41 467 950 24 446 686 22 279 331 11 28 421 713 18 343 615 15 219 328 12 9 179 311 8 145 261 7 114 162 1998 Age ?????????Pregnancies????? Births 10-14?????????????? 320????????????????? 231 15-17?????????????? 4041??????????????? 3222 18-19?????????????? 6387??????????????? 5164 1999 Age ????????????Pregnancies????? Births 10-14?????????????? 309????????????????? 208 15-17?????????????? 3882??????????????? 3048 18-19?????????????? 6714??????????????? 5391 Build a mathematical model and use it to determine if there is a problem or not. Prepare an article for the newspaper that highlights your result in a novel mathematical relationship or comparison that will capture the attention of the youth. A South Sea Island Resort Problem: A south sea island chain has decided to transform one of their islands into a resort.? This roughly circular island, about 5 kilometers across, contains a mountain that covers the entire island.? The mountain is approximately conical, is about 1000 meters high at the center, appears to be sandy, and has little vegetation on it.? It has been proposed to lease some fire-fighting ships and wash the m