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Super Math Dude and the Radioactive Substance

by Jaclyn Brennecke

Cover

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Super Math Dude Saves the Day!
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One day...Super Math Dude was surfing the internet and came across an old 90s science show...
Let's watch!!
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Super Math Dude was alerted to 300-mg of a dangerous radioactive element left by the villain, Terrible Bad Guy.
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OH NO! WHAT WILL
OUR HERO DO?!?
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Ooh
Our hero must fly this substance to outer space to keep our city safe! How long must he fly with the material before he can bring it back down to Earth safely? Seconds? Minutes? Days? Years?
Decide which radioactive element Super Math Dude has found. Using the function below...
a) Find a function that models the mass remaining after t days.
b) Find the mass remaining after one year.
c) How long will it take for the sample to decay to a mass of 200 mg?
d) Sketch a graph of the sample mass as a function of time.

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