Scale factor of 0.5 inches = 1.5 feet
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To find the scale factor, divide the change in the size of the units on the two scales. In this case, the change is from inches to feet.
The given scale is 0.5 inches = 1.5 feet.
We need to find the scale factor for converting inches to feet.
To convert the units, we can set up a proportion:
0.5 inches / 1.5 feet = x inches / 1 foot
To solve for x, we cross-multiply:
0.5 inches * 1 foot = 1.5 feet * x inches
0.5 inches = 1.5x inches
Now, divide by 1.5 on both sides:
0.5 inches / 1.5 = x inches
Simplifying the left side:
1/3 = x inches
Therefore, the scale factor for converting inches to feet is 1/3.
To determine the scale factor between inches and feet, we need to compare the length of one unit in inches with the length of one unit in feet.
In this case, we are given that 0.5 inches is equivalent to 1.5 feet. To find the scale factor, we divide the length in feet by the length in inches.
Scale Factor = Length in feet / Length in inches
Using the given information, we have:
Scale Factor = 1.5 feet / 0.5 inches
To perform this calculation, we need to convert one of the lengths to the same unit as the other. Let's convert 1.5 feet to inches, since 0.5 inches is already given in inches.
1 foot = 12 inches
Converting 1.5 feet to inches:
1.5 feet * 12 inches/foot = 18 inches
Now we can calculate the scale factor:
Scale Factor = 18 inches / 0.5 inches
Dividing 18 inches by 0.5 inches:
Scale Factor = 36
Therefore, the scale factor between 0.5 inches and 1.5 feet is 36.