Concept explainers
a.
To write:A recursive formula for the height of the tree.
a.
Answer to Problem 29PPS
A recursive for the height of the tree is
Explanation of Solution
Given information:The heights of a certain type of tree over the past four years are 10 ft., 11 ft., 12.1 ft. and 13.31 ft.
Height in the first year
Height in the second year
Height in the third year
Height in the fourth year
Following the pattern of the sequence, it is observed that each term of the sequence, except the first term, is 1.1 times of the previous term.
Thus, a recursive formula for the height of the tree can be given as,
b.
To find:The height of the tree in two more years.
b.
Answer to Problem 29PPS
The height of the tree in two more years will be 16.1 ft.
Explanation of Solution
Given information:The heights of a certain type of tree over the past four years are 10 ft., 11 ft., 12.1 ft. and 13.31 ft.
Calculation:
A recursive formula for the height of the tree can be given as,
Then, height of tree in the fifth year
Height of the tree in the sixth year
Rounding to the nearest tenth
Thus, height of the tree in two more years will be 16.1 ft.
Chapter 7 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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