MS 101 Alg & Trig test one • • Name:

  1. Write the function to predict the number of descendants in generation x for a family in which each and every child in every generation has five children.
  2. Use a spreadsheet to make an xy scatter graph of the following ball bounce data.
    Bounce number Bounce height (cm)
    0 100
    2 45
    4 20
    6 9
    8 4
    10 2
    1. Add an EXPONENTIAL trend line and equation to the graph. Write the exponential equation below:
    2. __________ Based on the exponential equation in part a, what will be the height of bounce number twelve?
  3. __________ A ball bounce function is given by f(x) = 100 × (0.80)n where n is the bounce number and f(x) is the bounce height. Calculate the height of the ninth bounce by evaluating this function at n = 9.
  4. Circle the exponential equation: y = 2x | y = x2 | y = 2x
  5. __________ Evaluate 7x for x = 0
  6. __________ Evaluate 7x for x = 3
  7. __________ Evaluate ex for x = 3.8066625
  8. __________ Evaluate log10(x) for x = 10,000
  9. __________ Evaluate log10(x) for x = 500
  10. __________ Evaluate lne(x) for x = 2.71828
  11. __________ Evaluate lne(x) for x = 0
  12. 13 September 2000 Use a spreadsheet to make an xy scatter graph of the following baby growth data.
    age in months post-conception weight (pounds)
    9 6.6
    9.5 7.5
    11.5 11
    13.3 13
    14.2 14
    15 14.5
    17.5 15.4
    21 20
    25 18
    26 17.6
    27 19.4
    37 23.1
    57 29
    1. Add a LOGARITHMIC trend line and equation to the graph. Write the logarithmic equation below:
    2. ____________ Based on the logarithmic equation in part a, calculate the weight of the baby at 33 months post-conception.
    3. ____________ Based on the logarithmic equation in part a, calculate the age in months post-conception when the weight will be equal to 30 pounds.
    4. Mathematically, why cannot the baby be started at an age of zero months?