WGU Applied Algebra Exam - Topic 5 Question 1 Discussion

Actual exam question for WGU's Applied Algebra exam

Question #: 1
Topic #: 5

[All Applied Algebra Questions]

The value of a collectible artifact is represented by the function

In this function, represents the number of years since 2005, and represents the value of the artifact, in dollars.

Which value represents the average yearly rate of change of the value of the artifact from 2006 to 2011?

A76.76

B163.26

C383.81

D571.41

Show Suggested Answer

Suggested Answer: A

The function is:

Because represents the number of years since 2005:

The average yearly rate of change from 2006 to 2011 is:

First, find :

Now find :

Now calculate the average rate of change:

Rounded to two decimal places:

So the average yearly rate of change of the artifact's value from 2006 to 2011 is approximately:

Therefore, the correct answer is:

by Marvel at May 30, 2026, 06:08 PM

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7 hours ago

I feel like the answer should be one of the higher options since collectibles usually appreciate a lot over time.

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5 days ago

Wait, is the average rate of change just the difference in values divided by the difference in years? I'm not entirely sure.

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11 days ago

I remember a similar question where we had to find the slope between two points. I hope this one is just as straightforward!

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16 days ago

I think we need to find the value of the function at 2006 and 2011, then calculate the average rate of change.

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