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.
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
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 twelve?
__________ 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.
Circle the exponential equation: y = 2x | y = x2 | y = 2x
__________ Evaluate 7x for x = 0
__________ Evaluate 7x for x = 3
__________ Evaluate ex 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
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
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 33 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 30 pounds.
Mathematically, why cannot the baby be started at an age of zero months?