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A recent survey of freelance software developers revealed that those who specialize in cybersecurity charge, on average, a higher hourly rate for their freelance work than those who specialize in mobile application development. However, the survey also demonstrated that the average total annual income earned from freelance work is significantly greater for mobile application developers than it is for cybersecurity specialists.

Which one of the following is most strongly supported by the information above?

  1. A
    Choosing to specialize in mobile application development causes freelancers to work more hours than they would if they specialized in cybersecurity.
  2. B
    The total number of freelance mobile application developers in the survey is greater than the total number of freelance cybersecurity specialists.
  3. In the survey, the average freelance mobile application developer bills for a greater number of hours annually than the average freelance cybersecurity specialist does.Answer
  4. D
    Freelance cybersecurity specialists require more unpaid time for continuous education and certification than mobile application developers do.
  5. E
    Most freelance software developers who want to maximize their annual income choose to specialize in mobile application development.

Answer

The statement that the average freelance mobile application developer bills for a greater number of hours annually than the average freelance cybersecurity specialist does.
The correct answer is mathematically necessitated by the premises. The stimulus establishes that mobile developers have a lower average hourly rate but a higher average annual income from freelancing. Since total annual freelance income is calculated by multiplying the hourly rate by the number of hours billed, the only way to achieve a higher total income with a lower rate is by billing for a significantly greater number of hours.

Step-by-Step Solution

1
Identify the mathematical relationship implicit in the premises.
Annual Income=Hourly Rate×Hours Billed\text{Annual Income} = \text{Hourly Rate} \times \text{Hours Billed}
This formula connects the variables discussed in the stimulus.
2
Analyze the information provided about hourly rates.
Cybersecurity specialists have a higher average hourly rate than mobile application developers.
This is explicitly stated as the first premise.
3
Analyze the information provided about total annual income.
Mobile application developers have a higher average total annual freelance income than cybersecurity specialists.
This is explicitly stated as the second premise.
4
Synthesize the premises to draw a logically supported inference.
Mobile application developers must bill for more hours.
To achieve a higher total income despite charging a lower hourly rate, they mathematically must be multiplying that rate by a larger number of hours.

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