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WGU Applied Algebra Exam - Topic 2 Question 2 Discussion

Actual exam question for WGU's Applied Algebra exam
Question #: 2
Topic #: 2
[All Applied Algebra Questions]

The weight of a radioactive sample is given by the function

where is the time, in years, and is the weight of the sample, in ounces.

What is the weight of the sample when ?

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Suggested Answer: C

The function is:

This is an exponential decay function because the base is between 0 and 1:

That means the sample's weight decreases over time.

We need to find the weight when:

Substitute into the function:

First calculate the exponent:

Now multiply by :

Rounded to two decimal places:

So the weight of the radioactive sample after 3 years is approximately:


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