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According to the model $p(x) = 30(2)^{0.1x}$, what does $p(x)$ represent?
According to the model $p(x) = 30(2)^{0.1x}$, what does $p(x)$ represent?
- A constant representing initial conditions.
- The number of people who will be sick at time $x$. (correct)
- The rate at which the disease is spreading.
- The time in months since the beginning of the disease.
What is the interpretation of the number '30' in the disease spread model $p(x) = 30(2)^{0.1x}$?
What is the interpretation of the number '30' in the disease spread model $p(x) = 30(2)^{0.1x}$?
- The initial number of people infected when $x = 0$. (correct)
- The disease spreads 30 times faster each month.
- The disease spreads for a maximum of 30 months.
- The number of months it takes for the disease to double.
Using the model $p(x) = 30(2)^{0.1x}$, what calculation is needed to find the number of sick people after 20 months?
Using the model $p(x) = 30(2)^{0.1x}$, what calculation is needed to find the number of sick people after 20 months?
- Evaluate $p(20) = 30(2)^{0.1(20)}$. (correct)
- Integrate $p(x)$ from 0 to 20.
- Find the derivative of $p(x)$ and evaluate at $x = 20$.
- Solve $30(2)^{0.1x} = 20$ for $x$.
Which of these equations correctly calculates the number of people sick after 10 months, based on the model $p(x) = 30(2)^{0.1x}$?
Which of these equations correctly calculates the number of people sick after 10 months, based on the model $p(x) = 30(2)^{0.1x}$?
Suppose the disease spread model changed to $p(x) = 60(2)^{0.1x}$. How would this affect the number of sick people initially?
Suppose the disease spread model changed to $p(x) = 60(2)^{0.1x}$. How would this affect the number of sick people initially?
Flashcards
Exponential Growth Function
Exponential Growth Function
A function representing growth that accelerates over time, often seen in population dynamics.
Disease Spread Model
Disease Spread Model
Mathematical representation of how a disease spreads in a population over time.
Function p(x)
Function p(x)
The specific function used to calculate the number of people sick at time x.
Parameter x
Parameter x
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Population Estimate after 20 months
Population Estimate after 20 months
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