MS 101 Alg & Trig test one icon bullet Name:

  1. __________ How many great-great... great-grandparents did you have in generation 12? That is, with you as generation zero, how many grandparents in the 12th generation?
  2. __________ If one generation is 28 years, how many years ago would 12 generations be?
  3. f(x) = __________ Suppose you have six children and they each have six children who each have six children and so forth. Write the function for this system. Use the variable x for the number of children.
  4. __________ Use the above function for six children in every generation and WolframAlpha.com to determine the number of children in generation 4.
  5. __________ The compound interest formula is given by:
    A=P (1+rn) nt
    For a principal P of $1000, an interest rate r of 0.05, compounded n = 4 times a year, calculate the Amount A after a time t of ten years.
  6. __________ The continously compounding interest formula is given by:
    A=P e rt
    For a principal P of $1000, an interest rate r of 0.05,calculate the Amount A after a time t of ten years.
  7. __________ Evaluate f(x) = log10(x) for x = 1000.
  8. __________ Evaluate f(x) = lne(x) for x = e.
  9. __________ Marble bounce heights are described by the function:
    f(x)=100 e -0.65x where x is the bounce number and f(x) is the bounce height. Evaluate this function at x = 10 bounces.
  10. __________ Marble bounce heights are described by the function:
    f(x)=100 e -0.65x where x is the bounce number and f(x) is the bounce height. Solve for the bounce number x where f(x) is two centimeters high .
  11. Baby growth curves!
    baby growth curves
    The chart above depicts the theoretic optimal baby weight growth rate for three babies:

    My son: f(x) = 14.3 ln(x) - 24.9
    Baby MP: f(x) = 16.1 ln(x) - 27.5
    A healthy Vietnamese baby: f(x) = 12.3 ln(x) - 21.6.

    The x-axis is the age of the baby in months post conception. Birth is at x = 9 months. The y-axis is the weight of the baby in pounds.

    __________ Calculate the birth weight of baby MP by evaluating baby MP's growth function at x = 9 months.
  12. __________ Calculate the weight of a Vietnamese baby at x = 24 months.
  13. __________ Calculate the age of baby MP when baby MP's weight was equal to 22 pounds.
  14. ____________ Evaluate the baby growth function 16.1 ln(x) - 27.5 at x = 480 months (that is 40 years old).
  15. ____________ Is the result of the function a realistic weight in pounds for a 40 year old adult?