"Suppose a radioactive substance decays at a rate of 3.5% per hour. What percent of the substnce is left after 6 hours?"

Can you please list what I would have to do to solve this problem?

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- January 6th 2013, 10:14 PMEJdive43Can someone help me with this expoential decay problem?
"Suppose a radioactive substance decays at a rate of 3.5% per hour. What percent of the substnce is left after 6 hours?"

Can you please list what I would have to do to solve this problem? - January 7th 2013, 12:49 AMchiroRe: Can someone help me with this expoential decay problem?
Hey EJdive43.

Does it decay continuously or only in hourly intervals? - January 7th 2013, 08:30 AMSorobanRe: Can someone help me with this expoential decay problem?
Hello, EJdive43!

Quote:

A radioactive substance decays at a rate of 3.5% per hour.

What percent of the substance is left after 6 hours?

First, set up the function.

The substance loses 3.5% every hour.

That is, 96.5% of the substance remains.

We have: . . where

When , we have: .

. . . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . .

Therefore: .