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)

1. 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)

2. 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

1. 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.

1. Determine the ratios of the length of the ramp for each scaled image to the length of the ramp shown in the original drawing.
2. 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:

1. 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

2. 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

1. 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: