Question
Easy Access sells a portable ramp. The side drawing of the ramp indicates that it measures 4 ft high, has a landing platform that is
Easy Access sells a portable ramp. The side drawing of the ramp indicates that it measures 4 ft high, has a landing platform that is 6 ft long, and the ramp extends to 30 ft. There is also 3 ft railing on the ramp.
(2 points)
- The company plans to build a scale model of the ramp to display at trade shows. The marketing manager decides to dilate the drawing by a scale factor of . Graph the new image for the ramp and railing.
Answer:(6 points)
- The marketing manager is considering other scale factors for the display ramp. She labeled the corners of ramp and railing as shown. Complete the table.
.
Answer:
Point | Original Ordered Pair (x, y) Convert measurements to inches. | Ordered Pair When Scale Factor Is Provide values in inches. | Ordered Pair When Scale Factor Is Provide values in inches. | Ordered Pair When Scale Factor Is Provide values in inches. |
A | ||||
B | ||||
C | ||||
D | ||||
E | ||||
F | ||||
G |
Scale Factor | Length of Platform | Length of Ramp | Height of Ramp | Area of Side Panel |
1/2 | ||||
1/3 | ||||
1/4 |
- The marketing manager has determined that there is a relationship between scale factor and the total length of the ramp and between scale factor and the area of the side panel of the ramp.
- Determine the ratios of the length of the ramp for each scaled image to the length of the ramp shown in the original drawing.
- Determine the ratios of the area of the side panel of the ramp for each scaled image to the area of the side panel of the original drawing.
Answer:
- Ratio of the length of the ramp for each scaled image to the length of the ramp shown in the original drawing:
Ratio for Scale Factor of 1/2 | Ratio for Scale Factor of 1/3 | Ratio for Scale Factor of 1/4 | |
Length of Ramp |
- Ratio of the area of the side panel of the ramp for each scaled image to the area of the side panel of the original drawing:
Ratio for Scale Factor of 1/2 | Ratio for Scale Factor of 1/3 | Ratio for Scale Factor of 1/4 | |
Area of Side Panel |
- Reflection: After reviewing the various options, the marketing manager has decided to construct a model that is based upon the 1/2 scale of the original ramp. The constructed model will use a scale factor of 1/3 When she sends this request to manufacturing, there is discussion regarding other options for constructing the model based upon the original ramp, the 1/3 scale of the original ramp, and the 1/4 scale of the original ramp. Identify what these options are and determine if all are viable options. Support your response with appropriate measurements and drawings.
Answer:
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