# November 2001 Problems

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 10-14 Pregnant Age 15-17 Pregnant Age 18- 19 Pregnant 10-14 births 15-17 births 18-19 births 10-14 births-unmarried 15-17 birth- unmarried 18-19 births-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.

Problem B: Skyscrapers

Skyscrapers vary in height , size (square footage), occupancy rates, and usage. They adorn the skyline of our major cities. But as we have seen several times in history, the height of the building might preclude escape during a catastrophe either human or natural (earthquake, tornado, hurricane, etc). Let's consider the following scenario. A building (a skyscraper) needs to be evacuated. Power has been lost so the elevator banks are inoperative except for use by firefighters and rescue personnel with special keys.

Build a mathematical model to clear the building within X minutes. Use this mathematical model to state the height of the building, maximum occupation, and type of evacuation methods used. Solve your model for X = 15 minutes, 30 minutes, and 60 minutes.