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Exponential Growth and Decay

Quiz by MR. Handlin

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19 questions
Show answers
  • Q1
    Which of the following is an example of exponential decay?
    The amount of a radioactive substance decreasing over time
    The population of a rapidly growing city
    The height of a plant growing taller over time
    The amount of money in a bank account with compound interest
    30s
  • Q2
    If a bacteria culture doubles in size every 3 hours, which type of mathematical model best describes its growth?
    Logarithmic growth
    Quadratic growth
    Exponential growth
    Linear growth
    30s
  • Q3
    A population of 1000 individuals is decreasing by 5% each year. What type of function best models this population change over time?
    Exponential growth
    Linear decay
    Logarithmic decay
    Exponential decay
    30s
  • Q4
    If a certain substance has a half-life of 10 years, which characteristic describes its decay?
    Quadratic decay
    Random decay
    Linear decay
    Exponential decay
    30s
  • Q5
    What is the primary difference between exponential growth and linear growth?
    Exponential growth increases by a constant percentage, while linear growth increases by a constant amount.
    Exponential growth increases by a constant amount, while linear growth increases by a constant percentage.
    There is no difference; both increase by a constant amount.
    Exponential growth decreases by a constant percentage, while linear growth decreases by a constant amount.
    30s
  • Q6
    30s
  • Q7
    Which of the following best represents an exponential growth situation?
    A car losing value each year
    A savings account where the interest is compounded annually
    A straight line on a graph
    The rate at which water drains from a leaking tank
    30s
  • Q8
    Which equation represents exponential growth?
    y=5\left(2\right)^x
    y = 5x^2
    y = 2x + 5
    y = 10 - 3x
    30s
  • Q9
    Which of the following equations represents an exponential decay function with an initial value of 100 and a decay rate of 10% per time period?
    y=100(0.9)^t
    y=100\left(1.1\right)^t
    y = 100 - 10t
    y = 100 imes (1 - 0.1t)
    30s
  • Q10
    If a population of bacteria doubles every 3 hours and starts with 500 bacteria, how many bacteria will there be after 9 hours?
    6000
    1000
    8000
    4000
    30s
  • Q11
    30s
  • Q12
    A radioactive substance has a half-life of 5 years. If you start with 80 grams of the substance, how much will remain after 15 years?
    30 grams
    10 grams
    20 grams
    5 grams
    30s
  • Q13
    30s
  • Q14
    An initial amount of 1000 mg of a substance decays exponentially at a rate of 12% per hour. What is the remaining amount of the substance after 3 hours?
    680 mg
    702.74 mg
    750 mg
    800 mg
    30s
  • Q15
    30s

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