An element with a mass of 100 grams decays by 20.5% per minute. To the nearest minute, how long will it be until there are 10 grams of the element remaining?

Using the exponential function, the time take to have 10 grams of the element left is 10 minutes.

Using the expression function :

Plugging the values into the function :

Divide both sides by 100

Take the log of both sides

t = (-1 ÷ −0.099632)

t = 10.036

t = 10.0 minutes

Therefore, the time taken in other to have 10 grams left is 10 minutes.

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About 10 minutes.

Step-by-step explanation:

Let's make an equation to model this situation. This is called exponential decay, so we'll need to use an exponent soon. We're starting with 100 grams:

    100

It decays (this means subtraction) by 20.5% per minute. With m = minute:

    100(1 - .205)^m

And we want to end up with 10 grams remaining:

    100(1 - .205)^m = 10

Let's solve for m now!

100(1 - .205)^m = 10

(1 - .205)^m = 10/100

.795^m = .1

log.795(.1) = m

m = 10.037 = about 10 minutes

21

jk it's 20

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