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 four children.
Use a spreadsheet to make an xy scatter graph of the following bouncing ball data.
Bounce number
Bounce height (cm)
0
100
1
80
2
64
3
51.2
4
40.96
5
32.768
Add an EXPONENTIAL trend line and equation to the graph. Write the exponential equation below:
__________ Based on the exponential equation in part a, what will be the height of bounce number eight?
__________ 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 fifth bounce by evaluating this function at n = 5.
Circle the exponential equation:
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__________ Evaluate for x = 0
__________ Evaluate for x = 3
__________ Evaluate for x = 3.8066625
__________ Evaluate log10(x) for x = 10,000
__________ Evaluate log10(x) for x = 500
__________ Evaluate lne(x) for x = 2.71828
__________ Evaluate lne(x) for x = 0
__________ Determine the value of x by rewriting as an exponential function: log7(343) = x.
Sketch a graph of
for x = -3 to 3
Use a spreadsheet to make an xy scatter graph of the following baby growth data.
age in months post-conception
weight (pounds)
9
7.17
15
12.79
21
16.49
27
19.25
33
21.47
39
23.30
Add a LOGARITHMIC trend line and equation to the graph. Write the logarithmic equation below:
____________ Based on the logarithmic equation in part a, calculate the weight of the baby at 45 months post-conception.
____________ Based on the logarithmic equation in part a, calculate the age in months post-conception when the weight will be equal to 25 pounds.
Mathematically, why cannot the baby be started at an age of zero months?