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PLEASE HELP ASAP! Billy is monitoring the exponential decay of a radioactive compound. He has a sample of the compound in a test tube in his lab. According to his calculations, the sample is decaying at a rate of 35% per hour. There are at least 72 grams of the sample remaining. Once the sample reaches a mass of 15 grams, Billy will continually add more of the compound to keep the sample size at a minimum of 15 grams.


If R represents the actual amount of the sample remaining, in grams, and t represents the time in hours, then which of the following systems of inequalities can be used to determine the possible mass of the radioactive sample over time?

PLEASE HELP ASAP Billy is monitoring the exponential decay of a radioactive compound He has a sample of the compound in a test tube in his lab According to his class=

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cake3056

the answer to the question is b

Answer:

The correct option is B.

Step-by-step explanation:

Consider the provided information.

Billy is monitoring the exponential decay of a radioactive compound.

As it is given that, the sample is decaying at a rate of 35% per hour.

So, 35% can be written as:

[tex]\frac{35}{100}=0.35[/tex]

Note: If the exponent of "e" is a positive number, then the sample will increase, but it is given that Billy is watching a radioactive decay. Therefore the exponent of "e" must be a negative number.

Thus, the exponent of "e" should be -0.35t.

Now, observe the provided options, only option B has [tex]e^{-0.35t}[/tex].

Therefore, the correct option is B.

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