Concept explainers
a.
To make a table to show the expected length of Audrey’s hair in each of first 4 years
a.
Answer to Problem 55STP
The table for the expected length of Audrey’s hair in each of first 4 years is
Year | Length |
In 1st year | 10 inches |
In 2nd year | 13 inches |
In 3rd year | 16 inches |
In 4th year | 19 inches |
Explanation of Solution
Given information:
Audrey’s hair is 7 inches long and is expected to grow at an average rate of 3 inches per year
Audrey’s hair grow 3 inches per year so,
After 1 year its length will be =
After 2 years its length will be =
After 3 years its length will be =
After 4 years its length will be =
The table for the length Audrey’s hair can be obtained as,
Year | Length |
In 1st year | 10 inches |
In 2nd year | 13 inches |
In 3rd year | 16 inches |
In 4th year | 19 inches |
Therefore, the table is for length of Audrey’s hair of first 4 years is obtained
b.
To write the function that can be used to determine the length of Audrey’s hair after each year
b.
Answer to Problem 55STP
The function that can be used to determine the length of Audrey’s hair after each year is
Explanation of Solution
Given information:
Audrey’s hair is 7 inches long and is expected to grow at an average rate of 3 inches per year
Since Audrey’s hair is 7 inches long and expected to grow 3 inches every year so its expression can be written as,
Here,
Therefore, the obtained function is
c.
To determine the length of Audrey’s hair after 9 years if she does not get a hair cut
c.
Answer to Problem 55STP
The length of Audrey’s hair after 9 years will be 34 inches
Explanation of Solution
Given information:
Audrey’s hair is 7 inches long and is expected to grow at an average rate of 3 inches per year
Each year Audrey’s hair is expected to grow 3 inches so length of her hair after 9 years can be obtained as,
After 1 year its length will be =
After 2 years its length will be =
After 3 years its length will be =
After 4 years its length will be =
After 5 years its length will be =
After 6 years its length will be =
After 7 years its length will be =
After 8 years its length will be =
After 9 years its length will be =
Therefore, the length of Audrey’s hair after 9 years will be 34 inches
Chapter 8 Solutions
Glencoe Algebra 2 Student Edition C2014
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