Question #7edac

1 Answer
Dec 16, 2017

Answer:

#6.25# grams remaining

Explanation:

Use this exponential decay equation:

#y = a(b)^x#

Here #a# is the starting amount you have, which is 100 grams in this case:

#y = 100(b)^(x/8) -># You divide #x# by #8# because the half-life is every #8# years

#b# is the amount decaying each time, which is half every time:

#y = 100(1/2)^(x/8)#

#x# is the number of years, so plug in #32# to find the remaining amount of the sample: (solve for #y#)

#y = 100(1/2)^(32/8) => y = "6.25 g remaining"#