Question

Question #7edac

Answer 1

`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"`