
Concept explainers
(a)
To Find: The estimation and the interpretation of D(2) .
(a)

Answer to Problem 9CA
The distance travelled by the traveller is 500 units.
Given:
The given diagram is shown in Figure 1
Figure 1
The function for the distance travelled by the traveller is y=D(x) .
Calculation:
Consider the function D(2) .
From the graph the function D(2) shows that the distance and the time have a liner relation at D(2) and at D(2) the distance travelled by the traveller is 500 units.
(b)
To Find: The solution to determine the solution of the equation D(x)=3500 and explain its relevance.
The solution is D(15)=3500 .
Consider the given function D(x)=3500 .
Consider the given function is y=D(x) .
Then at y=35000 the time is x=15 and the required solution is,
D(15)=3500
(c)
To Find: The time for which the traveller has to wait for the shuttle bus.
The wait time of the traveller is 15 min .
The graph shows that the time taken by the traveller to reach the shuttle is of x=15 minute.
(d)
To Find: The distance travelled by the traveller on the shuttle bus.
The distance travelled by the traveller on the shuttle bus is not determined from the graph.
From the graph the distance travelled by the rider on the shuttle bus is not determined as the graph shows the distance travelled by the traveller to reach the bus in feet.
(e)
To Find: The total distance that the traveller walks before and after riding the shuttle bus.
The total distance travelled is 5508 .
Consider the distance from the origin to the first point (4,1000) is,
d1=√(4−0)2+(1000−0)2=1000
Consider the distance from (4,1000) to the first point (12,1000) is,
d2=√(12−4)2+(1000−1000)2=8
Consider the distance from (12,1000) to the first point (13,3000) is,
d3=√(3000−1000)2+(13−12)2=2000
Consider the distance from (13,3000) to the first point (13,3500) is,
d3=√(15−12)2+(3500−1000)2=2500
Thus, the total distance travelled by the traveller is,
d=1000+8+2000+2500=5508
Explanation of Solution
Given:
The given diagram is shown in Figure 1
Figure 1
The function for the distance travelled by the traveller is y=D(x) .
Calculation:
Consider the function D(2) .
From the graph the function D(2) shows that the distance and the time have a liner relation at D(2) and at D(2) the distance travelled by the traveller is 500 units.
(b)
To Find: The solution to determine the solution of the equation D(x)=3500 and explain its relevance.
(b)

Answer to Problem 9CA
The solution is D(15)=3500 .
Consider the given function D(x)=3500 .
Consider the given function is y=D(x) .
Then at y=35000 the time is x=15 and the required solution is,
D(15)=3500
(c)
To Find: The time for which the traveller has to wait for the shuttle bus.
The wait time of the traveller is 15 min .
The graph shows that the time taken by the traveller to reach the shuttle is of x=15 minute.
(d)
To Find: The distance travelled by the traveller on the shuttle bus.
The distance travelled by the traveller on the shuttle bus is not determined from the graph.
From the graph the distance travelled by the rider on the shuttle bus is not determined as the graph shows the distance travelled by the traveller to reach the bus in feet.
(e)
To Find: The total distance that the traveller walks before and after riding the shuttle bus.
The total distance travelled is 5508 .
Consider the distance from the origin to the first point (4,1000) is,
d1=√(4−0)2+(1000−0)2=1000
Consider the distance from (4,1000) to the first point (12,1000) is,
d2=√(12−4)2+(1000−1000)2=8
Consider the distance from (12,1000) to the first point (13,3000) is,
d3=√(3000−1000)2+(13−12)2=2000
Consider the distance from (13,3000) to the first point (13,3500) is,
d3=√(15−12)2+(3500−1000)2=2500
Thus, the total distance travelled by the traveller is,
d=1000+8+2000+2500=5508
Explanation of Solution
Consider the given function D(x)=3500 .
Consider the given function is y=D(x) .
Then at y=35000 the time is x=15 and the required solution is,
D(15)=3500
(c)
To Find: The time for which the traveller has to wait for the shuttle bus.
(c)

Answer to Problem 9CA
The wait time of the traveller is 15 min .
The graph shows that the time taken by the traveller to reach the shuttle is of x=15 minute.
(d)
To Find: The distance travelled by the traveller on the shuttle bus.
The distance travelled by the traveller on the shuttle bus is not determined from the graph.
From the graph the distance travelled by the rider on the shuttle bus is not determined as the graph shows the distance travelled by the traveller to reach the bus in feet.
(e)
To Find: The total distance that the traveller walks before and after riding the shuttle bus.
The total distance travelled is 5508 .
Consider the distance from the origin to the first point (4,1000) is,
d1=√(4−0)2+(1000−0)2=1000
Consider the distance from (4,1000) to the first point (12,1000) is,
d2=√(12−4)2+(1000−1000)2=8
Consider the distance from (12,1000) to the first point (13,3000) is,
d3=√(3000−1000)2+(13−12)2=2000
Consider the distance from (13,3000) to the first point (13,3500) is,
d3=√(15−12)2+(3500−1000)2=2500
Thus, the total distance travelled by the traveller is,
d=1000+8+2000+2500=5508
Explanation of Solution
The graph shows that the time taken by the traveller to reach the shuttle is of x=15 minute.
(d)
To Find: The distance travelled by the traveller on the shuttle bus.
(d)

Answer to Problem 9CA
The distance travelled by the traveller on the shuttle bus is not determined from the graph.
From the graph the distance travelled by the rider on the shuttle bus is not determined as the graph shows the distance travelled by the traveller to reach the bus in feet.
(e)
To Find: The total distance that the traveller walks before and after riding the shuttle bus.
The total distance travelled is 5508 .
Consider the distance from the origin to the first point (4,1000) is,
d1=√(4−0)2+(1000−0)2=1000
Consider the distance from (4,1000) to the first point (12,1000) is,
d2=√(12−4)2+(1000−1000)2=8
Consider the distance from (12,1000) to the first point (13,3000) is,
d3=√(3000−1000)2+(13−12)2=2000
Consider the distance from (13,3000) to the first point (13,3500) is,
d3=√(15−12)2+(3500−1000)2=2500
Thus, the total distance travelled by the traveller is,
d=1000+8+2000+2500=5508
Explanation of Solution
From the graph the distance travelled by the rider on the shuttle bus is not determined as the graph shows the distance travelled by the traveller to reach the bus in feet.
(e)
To Find: The total distance that the traveller walks before and after riding the shuttle bus.
(e)

Answer to Problem 9CA
The total distance travelled is 5508 .
Consider the distance from the origin to the first point (4,1000) is,
d1=√(4−0)2+(1000−0)2=1000
Consider the distance from (4,1000) to the first point (12,1000) is,
d2=√(12−4)2+(1000−1000)2=8
Consider the distance from (12,1000) to the first point (13,3000) is,
d3=√(3000−1000)2+(13−12)2=2000
Consider the distance from (13,3000) to the first point (13,3500) is,
d3=√(15−12)2+(3500−1000)2=2500
Thus, the total distance travelled by the traveller is,
d=1000+8+2000+2500=5508
Explanation of Solution
Consider the distance from the origin to the first point (4,1000) is,
d1=√(4−0)2+(1000−0)2=1000
Consider the distance from (4,1000) to the first point (12,1000) is,
d2=√(12−4)2+(1000−1000)2=8
Consider the distance from (12,1000) to the first point (13,3000) is,
d3=√(3000−1000)2+(13−12)2=2000
Consider the distance from (13,3000) to the first point (13,3500) is,
d3=√(15−12)2+(3500−1000)2=2500
Thus, the total distance travelled by the traveller is,
d=1000+8+2000+2500=5508
Chapter 7 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
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