Element X decays radioactively with a half life of 9 minutes. If there are 960 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 40 grams?

y=a(.5)^t/h

It will take 41.3 minutes for the element to decay to 40 grams

Step-by-step explanation:

The amount of element after t minute is given by the following equation:

In which x(0) is the initial amount and r is the rate that it decreases.

Element X decays radioactively with a half life of 9 minutes.

This means that . We use this to find r. So

So

There are 960 grams of Element X

This means that

How long, to the nearest tenth of a minute, would it take the element to decay to 40 grams?

This is t when . So

It will take 41.3 minutes for the element to decay to 40 grams

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