To create scale drawings based on the provided dimensions and scaling factors, we will begin by defining the conversions.
Scale Factor:
We will use the scale where 1 box equals 2 inches for each graph.
Original Dimensions:
- Graph 1: 15 x 9 inches
- Graph 2: 6 x 3 inches
- Graph 3: 15 x 6 inches
- Graph 4: 5 x 3 inches
Calculating the Scale Drawings:
-
Graph 1: 15 x 9 inches
- Width in boxes: 15 inches ÷ 2 inches/box = 7.5 boxes (approximately 8 boxes for drawing)
- Height in boxes: 9 inches ÷ 2 inches/box = 4.5 boxes (approximately 5 boxes for drawing)
- Scale Drawing Size: 8 boxes (width) x 5 boxes (height)
-
Graph 2: 6 x 3 inches
- Width in boxes: 6 inches ÷ 2 inches/box = 3 boxes
- Height in boxes: 3 inches ÷ 2 inches/box = 1.5 boxes (approximately 2 boxes for drawing)
- Scale Drawing Size: 3 boxes (width) x 2 boxes (height)
-
Graph 3: 15 x 6 inches
- Width in boxes: 15 inches ÷ 2 inches/box = 7.5 boxes (approximately 8 boxes for drawing)
- Height in boxes: 6 inches ÷ 2 inches/box = 3 boxes
- Scale Drawing Size: 8 boxes (width) x 3 boxes (height)
-
Graph 4: 5 x 3 inches
- Width in boxes: 5 inches ÷ 2 inches/box = 2.5 boxes (approximately 3 boxes for drawing)
- Height in boxes: 3 inches ÷ 2 inches/box = 1.5 boxes (approximately 2 boxes for drawing)
- Scale Drawing Size: 3 boxes (width) x 2 boxes (height)
Preparation for Drawing:
You can create these graphs on graph paper or any drawing software where you can represent boxes clearly. Here are the dimensions you will draw:
- Graph 1: Draw a rectangle with width 8 boxes and height 5 boxes.
- Graph 2: Draw a rectangle with width 3 boxes and height 2 boxes.
- Graph 3: Draw a rectangle with width 8 boxes and height 3 boxes.
- Graph 4: Draw a rectangle with width 3 boxes and height 2 boxes.
Make sure to label each graph according to its dimensions for clarity.