a.
To create a table.
a.
Answer to Problem 49PPS
age | Height (inches) |
3 | 33 |
5 | 42 |
7 | 49 |
9 | 53 |
Explanation of Solution
Given information: Nora was 33 inches tall when she was 3 years old, 42 when she was 5, 49 when she was 7 and 53 when she was 9 years
Calculation:
Concluding from thegiven data and forming a table,
age | Height (inches) |
3 | 33 |
5 | 42 |
7 | 49 |
9 | 53 |
b.
To graph the given data.
b.
Answer to Problem 49PPS
Explanation of Solution
Given information:
age | Height (inches) |
3 | 33 |
5 | 42 |
7 | 49 |
9 | 53 |
Graph:
c.
To evaluate the conjecture.
c.
Answer to Problem 49PPS
At the age of 11 her height will be 59.63 inches
Explanation of Solution
Given information:
Formula used:
Formula for slope,
Equation of line,
Calculation:
For the slope, substituting the values,
So,
On solving,
Slope is 3.33
For equation of line, substituting the values,
So,
On solving,
For 11years, substituting the values,
On solving,
Hence, at the age of 11 her height will be 59.63 inches
d.
To evaluate the pattern
d.
Answer to Problem 49PPS
The pattern of the given data will not continue over time.
Explanation of Solution
Given information:
age | Height (inches) |
3 | 33 |
5 | 42 |
7 | 49 |
9 | 53 |
Calculation:
The pattern of the data will not continue over time, as the human height stops increasing after a certain period of time. And the increase in height of a person does not always increase at a constant rate.
Hence, the pattern of the given data will not continue over time.
Chapter 2 Solutions
Geometry, Student Edition
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