the length of a table is 6 feet. On a scale drawing, the length is 2 inches. Write three possible scales for the drawing.
1 inch = 3 feet
1/2 inch = 1.5 feet
2 inches = 6 feet
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THE LENGTH OF A TABLE IS 6 FEET.ON A SCALE DRAWING,THE LENGTH IS 2 INCHES.WRITE THREE POSSIBLE SCALES FOR THE DRAWING.
To find the scale for the drawing, we need to determine the ratio between the actual length of the table and its representation on the scale drawing. Since the actual length of the table is 6 feet and the length on the scale drawing is 2 inches, we can set up a proportion to find the scale.
Let "x" represent the scale factor between feet and inches. The proportion can be set up as:
6 feet / 2 inches = x
To find three possible scales, we can solve for "x" using different values:
1. Feet to inches conversion scale:
1 foot = 12 inches
Therefore, the scale factor is:
6 feet / 2 inches = 6 * 12 inches / 2 inches = 72 inches / 2 inches = 36
So, one possible scale is 1 inch = 36 feet.
2. Half-foot to inches conversion scale:
0.5 foot = 6 inches
Therefore, the scale factor is:
6 feet / 2 inches = 6 inches / 6 inches = 1
So, one possible scale is 1 inch = 1/2.
This means each inch on the scale drawing represents half a foot.
3. Quarter-foot to inches conversion scale:
0.25 foot = 3 inches
Therefore, the scale factor is:
6 feet / 2 inches = 6 inches / 3 inches = 2
So, one possible scale is 1 inch = 2 feet.
Therefore, three possible scales for the drawing are:
1. 1 inch = 36 feet
2. 1 inch represents half a foot.
3. 1 inch = 2 feet.