Disease Spread Model Analysis
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Questions and Answers

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 $p(x) = 30(2)^{0.1x}$?

  • 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?

  • 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 $p(x) = 30(2)^{0.1x}$?

    <p>$p(10) = 30(2)^{0.1 * 10} = 60$ (A)</p> Signup and view all the answers

    Suppose the disease spread model changed to $p(x) = 60(2)^{0.1x}$. How would this affect the number of sick people initially?

    <p>The number of sick people initially would double. (D)</p> Signup and view all the answers

    Flashcards

    Exponential Growth Function

    A function representing growth that accelerates over time, often seen in population dynamics.

    Disease Spread Model

    Mathematical representation of how a disease spreads in a population over time.

    Function p(x)

    The specific function used to calculate the number of people sick at time x.

    Parameter x

    The variable representing time in months since the start of the disease.

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    Population Estimate after 20 months

    Calculated number of sick people after 20 months using p(x).

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