
Concept explainers
a.
To make: a function table to show how far each person has traveled after Abigail has traveled 1, 2, 3 and 4 hours.
a.

Answer to Problem 26IP
Explanation of Solution
Given information: Abigail left Charlotte, 30 minutes before Juan did, to travel to
Greenville. Two and a half hours after Abigail left, she had traveled 155 miles, and Juan had traveled 144 miles.
Calculation:
Since Abigail had traveled 155 miles in 2.5 hours, so she travels
Therefore the function of Abigail travels is
Since Juan starts travelling after 30 minutes Abigail left Charlotte, so Juan travels 144 miles in 2 hours, therefore he travels
Therefore the function of Juan travels is
The function table shows how far each person has traveled after Abigail has traveled 1, 2, 3 and 4 hours is shown below.
Abigail | Juan(starts travels after 30 minutes). | ||
Hours (x) | Distance | Hours (x − 0.5) | Distance |
1 | 62 | 0.5 | 36 |
2 | 124 | 1.5 | 108 |
3 | 186 | 2.5 | 180 |
4 | 248 | 3.5 | 252 |
b.
To make: a graph of the data and find, do the two lines intersect and what does this intersection points represents.
b.

Answer to Problem 26IP
Yes the two lines intersect the point of intersection represent that at point of intersection both Abigail and Juan travels equal distance.
Explanation of Solution
Given information: The function table shows how far each person has traveled after Abigail has traveled 1, 2, 3 and 4 hours is shown below.
Abigail | Juan(starts travels after 30 minutes). | ||
Hours (x) | Distance | Hours (x − 0.5) | Distance |
1 | 62 | 0.5 | 36 |
2 | 124 | 1.5 | 108 |
3 | 186 | 2.5 | 180 |
4 | 248 | 3.5 | 252 |
Calculation:
The graph of the data is shown below.
From the graph,
Yes the two lines intersect the point of intersection represent that at point of intersection both Abigail and Juan travels equal distance.
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