Given:
• Mammoth ==> A
,
• Reversal ==> B
,
• Screech ==> C
,
• Tempest ==> D
,
• Max Auto ==> E
,
• Spinner ==> F
,
• Super hero ==> G
,
• Thrill drop ==> H
Where:
Ratio of unit length to actual length = 1 : 500
Let's complete the table and estimate the distances.
• From Mammoth to Tempest:
We have:
Mammoth: A(-9, -8)
Tempest: D(-9, 8)
Number of units = |-8-8| = | -16| = 16
Therefore, the number of units = 16
To find the distance in feet using the ratio, we have:
d = 16 x 500 = 8000 ft
• From Spinner to Super hero:
We have the points:
Spinner: F(3, 8)
Suerhero: G(4, -8)
Apply the distance formula:
[tex]\begin{gathered} d=\sqrt{(x2-x1)^2+(y2-y1)^2} \\ \\ d=\sqrt{(4-3)^2+(-8-8)^2} \\ \\ d=\sqrt{1^2+(-16)^2} \\ \\ d=\sqrt{1+256} \\ \\ d=16.03 \end{gathered}[/tex]
Number of units = 16
Distance = 16 x 500 = 8000 ft
• From Screech to bumer cars:
We have the points:
Screech: C(-4, -4)
Bumper cars: (2, 3)
Apply the distance formula:
[tex]\begin{gathered} d=\sqrt{(2--4)^2+(3--4)^2} \\ \\ d=\sqrt{6^2+7^2} \\ \\ d=\sqrt{85} \\ \\ f=9.2 \end{gathered}[/tex]
Number of units = 9.2
Distance = 9.2 x 500 = 4600 ft
• From Thrill drop to Nearest food:
We have:
H(6, -7), and G(4, -8)
[tex]\begin{gathered} d=\sqrt{(4-6)^2+(-8--7)^2} \\ \\ d=2.23 \end{gathered}[/tex]
Number of units = 2.2
Distance = 2.2 x 500 = 1100 ft
Therefore, we have the table:
Approximate distances
From To Number of units Distance
Mammoth Tempest 16 8000 ft
Spinner Super hero 16 8000
Screech Bumper cars 9.2 4600
Thrill drop Nearest food 2.2 1100
ANSWER:
