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Step 1:I'll explain how to find the scale factor on a graph step by step:
Step 2:: Understand the Definition of Scale Factor
The scale factor is a ratio that compares the dimensions of a scaled drawing or model to its original dimensions. It represents how much larger or smaller an object has been made compared to its original size.
Step 3:: Identify the Original and Scaled Dimensions
To find the scale factor, you need two corresponding measurements: - Original measurement - Scaled measurement
Step 4:: Calculate the Scale Factor
\text{Scale Factor} = \frac{\text{Scaled Dimension}}{\text{Original Dimension}}
The scale factor is calculated using the formula:
Step 5:: Example Calculation
\text{Scale Factor} = \frac{15}{5} = 3
Let's say: - Original length = 5 cm - Scaled length = 15 cm This means the object has been enlarged by a factor of 3.
Step 6:: Interpretation
- Scale factor > 1 indicates enlargement - Scale factor < 1 indicates reduction - Scale factor = 1 means no change in size
Final Answer
To find the scale factor, divide the scaled dimension by the original dimension using the formula \frac{\text{Scaled Dimension}}{\text{Original Dimension}}.
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