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WGU Applied Algebra Exam - Topic 1 Question 10 Discussion

The population of fish in a lake is changing according to the functionwhere is the number of months since the beginning of the year and is the fish population at time .Which interpretation of the rate of change is correct?
D) The number of fish in the lake is decreasing at a constant rate of 35 fish per month.
A) The number of fish in the lake is increasing at a constant rate of 462 fish per month.
B) The number of fish in the lake is decreasing at a constant rate of 462 fish per month.
C) The number of fish in the lake is increasing at a constant rate of 35 fish per month.

WGU Applied Algebra Exam - Topic 1 Question 10 Discussion

Actual exam question for WGU's Applied Algebra exam
Question #: 10
Topic #: 1
[All Applied Algebra Questions]

The population of fish in a lake is changing according to the function

where is the number of months since the beginning of the year and is the fish population at time .

Which interpretation of the rate of change is correct?

Show Suggested Answer Hide Answer
Suggested Answer: D

The function is:

This is a linear function in the form:

where:

and

In this function:

The negative sign means the fish population is decreasing.

The number tells us the amount of decrease per month.

So the fish population is decreasing by:

The value is not the rate of change. It represents the starting fish population at the beginning of the year, when :

Therefore, the correct interpretation is:

So the correct answer is:


by Stephania at Aug 17, 2026, 06:47 AM

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Sheridan
4 days ago
I feel like the rate of 462 fish per month was mentioned in class, but I can't remember if it was an increase or a decrease. That part is really confusing!
upvoted 0 times
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Merlyn
9 days ago
I think we practiced a similar question where the rate was clearly defined. If I recall correctly, it was about 35 fish per month, but I can't remember if that was an increase or decrease.
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Derick
14 days ago
I remember that we discussed how to interpret the rate of change in population functions, but I'm not sure if it's increasing or decreasing here.
upvoted 0 times
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