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WGU Applied Algebra Exam - Topic 4 Question 4 Discussion

The number of people auditioning for a game show is expected to be 3 less than the number of people who auditioned last year. The function can be used to model the situation, where represents the number of people who auditioned last year and represents the number of people expected to audition this year.Which quantity represents the number of people expected to audition this year, given that 280 people auditioned last year?
A) A(280)=277
B) A(283)=280
C) A(280)=283
D) A(277)=280

WGU Applied Algebra Exam - Topic 4 Question 4 Discussion

Actual exam question for WGU's Applied Algebra exam
Question #: 4
Topic #: 4
[All Applied Algebra Questions]

The number of people auditioning for a game show is expected to be 3 less than the number of people who auditioned last year. The function can be used to model the situation, where represents the number of people who auditioned last year and represents the number of people expected to audition this year.

Which quantity represents the number of people expected to audition this year, given that 280 people auditioned last year?

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Suggested Answer: A

The function represents the number of people expected to audition this year.

The input represents the number of people who auditioned last year.

The problem says this year's number is expected to be 3 less than last year's number. Therefore, the function rule is:

We are told that 280 people auditioned last year, so:

Substitute into the function:

So, the notation that represents the number of people expected to audition this year is:

This means if 280 people auditioned last year, then 277 people are expected to audition this year.

Therefore, the correct answer is:


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Eladia
10 hours ago
I feel like I saw a question like this where we had to find the expected number by using a similar function. I think the answer is A(280)=277.
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Hubert
6 days ago
Wait, does A(280) mean we plug in 280 to find this year's number? I thought it was the other way around.
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Willis
11 days ago
I'm not entirely sure, but I think the function A(x) represents the number of people auditioning this year based on last year's auditions. So, A(280) should give us this year's number.
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Mireya
16 days ago
I remember we practiced similar problems where we had to adjust numbers based on last year's data. I think it's just subtracting 3 from 280.
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