Question
upstudy study bank question image url

  1. The dollar value of a moped is a function of the number of years, , since the moped
    was purchased. The function, , is defined by the equation .
    What is the best choice of domain for the function ?
    A.
    B.
    C.
    D.

Ask by Warren Craig. in the United States
Jan 30,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The best choice for the domain is .

Solution

The function models the dollar value of a moped years after its purchase. Here, represents the number of years since the moped was bought.
Key Considerations for the Domain:
  1. Non-Negative Time: Since represents the time elapsed since the purchase, it cannot be negative. Negative values of would imply a time before the purchase, which isn’t relevant in this context.
  2. Practical Time Frame: While the function mathematically allows to extend indefinitely, in practical scenarios, the value of a moped would typically be considered within a reasonable time frame (e.g., up to 10 years). Extending the domain to 100 years isn’t practical for assessing the value of a moped.
Given these considerations:
  • Option A includes negative values, which are not applicable.
  • Option B only covers negative values.
  • Option C includes non-negative values up to 10 years, aligning well with practical considerations.
  • Option D extends to 100 years, which is less practical.
Therefore, the best choice for the domain is:
C.

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Beyond the Answer

When considering the function , we realize that this equation models the depreciation of a moped over time. Given that represents the number of years since the moped was purchased, it makes sense for to start at 0 (the year of purchase) and extend into the future, capturing realistic scenarios of moped ownership.
Based on this understanding, the best choice for the domain of the function is or even if we want to represent long-term value depreciation. However, usually, the context around vehicle depreciation leans more towards the first few years, making a reasonable answer.
In practical terms, you’ve got a vehicle that’s losing value every year! Hop on your moped and take a ride, because that depreciation isn’t slowing down anytime soon! Remember that the longer you keep it, the less it’s worth, so consider your options responsibly!

Related Questions

Latest Pre Calculus Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy