Pregunta
Suppose the average cost to community hospitals per patient per day in year
is approximated by
, where
comtesponds te the year 2
Will the average cost per petient per day reach
by 2024 ?
What is the value of
in this case?
Will the average cost per petient per day reach
What is the value of
Ask by George Barber. in the United States
Jan 23,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The average cost per patient per day will reach $4,000 when
.
Solución
To determine whether the average cost per patient per day will reach $4,000 by 2024, we’ll solve for the value of
in the given cost equation:
Step-by-Step Solution:
- Set Up the Equation:
- Multiply Both Sides by
to Eliminate the Denominator:
- Expand the Right Side:
- Bring All Terms to One Side to Form a Quadratic Equation:
- Apply the Quadratic Formula:
Where:
- Calculate the Discriminant (
):
- Find the Square Root of the Discriminant:
- Solve for
:
Since
typically represents whole years in this context, we can round
to the nearest whole number:
Conclusion:
The value of
when the average cost per patient per day reaches $4,000 is approximately 41.
Respondido por UpStudy AI y revisado por un tutor profesional
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Extra Insights
To determine whether the average cost per patient per day will reach $4000 by 2024, we first need to find the value of
that corresponds to 2024. Since
refers to the year 2012 (2 years after the base year 2010), we can find
for 2024 by calculating:
2024 - 2010 = 14, which gives
.
Now, we substitute
into the cost function:
Calculating this will provide the average cost.
So, to find out whether it will reach $4000, you plug in the value of
as 14 and evaluate the expression! Exploring the trends in healthcare spending can often reveal surprising insights, and keeping an eye on such projections can lead to better budgetary decisions! Plus, healthcare costs are always evolving, just like technology! Hang tight while you crunch those numbers!
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