2. STEPS --Distance from center of Earth to center of Moon. --Radius of Moon (27 % of Earth’s radius) --Proportion for Earth’s radius --Cross multiply --Divide by coefficient for Earth’s radius -- Subtract Earth and Moon’s radius from distance between core of Earth and Moon for miles from surface to surface.
3. WORK 238,897 miles 1,079.6 miles 1,079.6/x = 27/100 27x = 107,960 x= 3,998.5 miles 238,897 – 1,079.6 – 3,998.5 = 233,818.9 miles from Earth
4. STEPS --Create a scatter plot with each missile’s distance --Find both lines of best fit. --Use calculator to determine the point of intersection.
5.
6. STEPS --Convert lines of best fit to standard form. --Set up a system of equations using the lines of best fit. --Solve by substitution for point of intersection --Check the solution
7. WORK North Koreans: y = 24388x – 21474 Americans: y = 26,176x – 40,085 (10.408836, 232,376.7) (calculator)
8. WORK x = # of days missile traveled y = # miles away from Earth 24,388x –y = 21,474 (North Koreans) 26,176x –y = 40,085 (Americans) Y= 26,176x -40,085
9. WORK 24,388x – (26,176x – 40,085) = 21,474 24,388 – 26,176x + 40,085 = 21,474 -1,788x= -18,611 x = 10.408836 x ≈ 10.4 days
10. WORK 24,388(10.408836) – y = 21,474 253,850.6924 – y = 21,474 -y = -232,376.6924 y = 232,376.6924 y ≈ 232,376.7 miles from Earth --So about (10.4 , 232,376.7) --The missiles intersect at about 10.4 days and meet at about 232,376.7 miles from Earth.
