The slope of a line can be used when building a ramp. Gordon is helping to build a wheelchair ramp for a neighbor’s house. For every 12 inches of horizontal distance, the height of the ramp increases 1 inch.
1. Gordon estimates that the ramp will be 6 inches tall when it is 60 inches long. Explain the error that he made and correct the error.
2. The height of the ramp when it connects to the house is 9 inches. What is the length of the ramp in yards? Explain how you determined the length.
3. At another entrance to the house, the maximum space available to build a ramp is 66 inches. Is it possible to build a ramp that is 5 inches tall in this amount of space? What is the tallest ramp that Gordon could build in this space?