The document summarizes the steps taken to calculate the intersection point of the trajectories of missiles launched by North Korea and the United States. It finds that the missiles will intersect 10.5 days after launch at a distance of 234,600 miles from Earth. Since the moon is 238,897 miles from Earth, the American missile will stop the Korean missile about 4,297 miles before it hits the moon.

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2. Step 1 – Scatter Plots Plot day # as x coordinates, and distance traveled as y coordinates in scatter plot (day#, dist.). Korean Missile American Missile

3. Step 2 – Lines of Best Fit Find line of best fit (using calculator) Korean Y=24388x-21474 American Y=26176x-40085

4. Step 3 – Find Intersection Use substitution and the best fitting line equations to find the point where the missiles would intersect. Y=24388x-21474 Y=26176x-40085 24388x-21474 = 26176x-40085 +21474 +21274 24388x = 26176x-18811 -26176x -26176x -1788x = - 18811 -1788 -1788 X=10.5 Days Y=24388(10.5)-21474 Y=234,600 miles (10.5, 234600) Intersection Point:

5. Step 4 - Conclusion Lines meet at the point (10.5, 234,600) This means the missiles will meet at a distance of 234,600 miles, on the 10 th day. Since the moon is 238,897 miles away from the earth, the American missile will stop the Korean missile about 4,297 miles before it hits.

6. Errors Distance from moon to earth used was from center of the moon to center of the earth which means it is not a completely accurate distance. In order to be accurate, you would need to know the distance from surface to surface.

7. Find Average Distances How many far each missile travels per day ** 1 kilometer = about 0.62 miles Added together = 706,175 miles total. 8 days = Average of 88,271.9 miles/day .62 = Average of 142,374.03 km/day. 142,374.03/ 24 hours = Average of 5,932.3 km/hr 88,271.9/24 = Average of 3,678 mph 176,655 8 151,224 7 122,801 6 99,649 5 72,804 4 48,238 3 24,293 2 10,311 1 Distance North Korean Missile has traveled from Earth (miles) Day

8. Find Average Distances Ctd. Added together = 621,670.4 miles total. 8 days = Average of 77,708.8 miles/day. .62 = Average of 125,336.8 km/day. 125,336.8/24 hours = Average of 5,222.4 km/hr 77,708.8/24 = Average of 3,237.9 mph ** 1 kilometer = about 0.62 miles 173,057 8 145,514 7 115,350 6 90,233 5 61,185 4 33,203 3 3,128 2 0 1 Distance American Missile has traveled from Earth (miles) Day

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