Question

The amount of candy left in a Halloween bucket is given by the function A(t) = 50(0.8)t where t stands for the number of minutes the candy is available and A(t) stands for the amount of candy left at any given time. How much candy is there after five minutes?

50 pieces

40 pieces

16 pieces

200 pieces

Answer 1

I think that equation is supposed to look like this:

`A(t)=50(.8) ^(t)`
The reason I say that is because this is an exponential decay problem, with a starting amount of 50 pieces of candy.
If that's the case, then it would look like this with a t value of 5:

`A(5)=50(.8) ^(5)`
and
`A(5)=50(.32768)`
so the amount of candy left after 5 minutes is 16.384 or 16