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1. Name:_______________________ Date:__________ Period:_______ 12 11 10 9 8 7 6 5 4 3 2 1 -1 -2 Height (miles) 1 2 3 4 5 6 7 8 9 10 11 12 13 Time (minutes) Mathmageddon A giant asteroid is heading for earth and it will cause widespread destruction if you can’t figure out a way to stop it. The military generals have informed you of 3 possible ways to launch nuclear missiles at the asteroid. It’s up to you to figure out how to save everyone on the planet! Option 1 – Ground Launch: The missile will be launched from a site at ground level. This missile climbs upwards at a speed of 1 mile per minute. Option 2 – Plane Launch: The missile will be launched from a plane flying at an altitude of 6 miles. However these missiles are slower and can only climb at a speed of 1 mile every 3 minutes. Option 3 – Submarine Launch: The missile will be launched from a submarine which is cruising at a depth of 1 mile below the surface. Missiles launched from a submarine travel at a speed of 2 miles per minute Graph each option and write their equations in slope-intercept form g(x) = p(x) = s(x) = The asteroid entered our atmosphere at a height of 12 miles and it is falling at a rate of 2 miles every 3 minutes. Write and graph an equation to represent the asteroid. a(x) = If the asteroid gets too close to the ground, the explosion from the missile would cause as much damage as the asteroid alone would have. Your scientists have informed you that if you can stop the asteroid more than 8 miles from the ground, everyone will be safe. Based on this info, which option should you use?

2. Name:_______________________ Date:__________ Period:_______ 12 11 10 9 8 7 6 5 4 3 2 1 -1 -2 Height (miles) 1 2 3 4 5 6 7 8 9 10 11 12 13 Time (minutes) Mathmageddon A giant asteroid is heading for earth and it will cause widespread destruction if you can’t figure out a way to stop it. The military generals have informed you of 3 possible ways to launch nuclear missiles at the asteroid. It’s up to you to figure out how to save everyone on the planet! Option 1 – Ground Launch: The missile will be launched from a site at ground level. This missile climbs upwards at a speed of 1 mile per minute. Option 2 – Plane Launch: The missile will be launched from a plane flying at an altitude of 6 miles. However these missiles are slower and can only climb at a speed of 1 mile every 3 minutes. Option 3 – Submarine Launch: The missile will be launched from a submarine which is cruising at a depth of 1 mile below the surface. Missiles launched from a submarine travel at a speed of 2 miles per minute Graph each option and write their equations in slope-intercept form g(x) = 1x p(x) = ⅓x + 6 s(x) = 2x – 1 The asteroid entered our atmosphere at a height of 12 miles and it is falling at a rate of 2 miles every 3 minutes. Write and graph an equation to represent the asteroid. a(x) = -⅔x + 12 If the asteroid gets too close to the ground, the explosion from the missile would cause as much damage as the asteroid alone would have. Your scientists have informed you that if you can stop the asteroid more than 8 miles from the ground, everyone will be safe. Based on this info, which option should you use? Submarine. Airplane stops it at exactly 8 miles, not more than 8. Ground is the worst option.