To graph the locations of the various attractions in the theme park, plot the following ordered pairs on the coordinate grid:
- Ticket Booth - (0, 5)
- Concession Stand - (4, 9)
- Bathrooms - (10, 8)
- Gift Shop - (9, 4)
- Roller Coaster - (5, 0)
- Water Ride - (6, 5)
Steps to Graph:
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Plot each point:
- For the Ticket Booth, move to (0, 5) and place a point.
- For the Concession Stand, move to (4, 9) and place a point.
- For the Bathrooms, move to (10, 8) and place a point.
- For the Gift Shop, move to (9, 4) and place a point.
- For the Roller Coaster, move to (5, 0) and place a point.
- For the Water Ride, move to (6, 5) and place a point.
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Label each point with its respective name.
Distance Calculation:
To find the distance from the Ticket Booth (0, 5) to the Water Ride (6, 5), use the distance formula for points on a coordinate plane:
The formula is:
\[
\text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
For the Ticket Booth (0, 5) and Water Ride (6, 5):
- \( x_1 = 0 \), \( y_1 = 5 \)
- \( x_2 = 6 \), \( y_2 = 5 \)
Substituting these values into the formula, we have: \[ \text{Distance} = \sqrt{(6 - 0)^2 + (5 - 5)^2} \] \[ = \sqrt{(6)^2 + (0)^2} \] \[ = \sqrt{36} \] \[ = 6 \]
Therefore, you would travel 6 units from the Ticket Booth to the Water Ride.