Question

What is the scale factor if the scale is 8 inches $=1$ foot?

   What is the scale factor if the scale is 8 inches $=1$ foot?

Prealgebra

Carol E. Malloy,… 1st Edition

Chapter 6, Problem 15

Instant Answer

Solved by Expert Brandon Fox

05/28/2020

Step 1

Since 1 foot equals 12 inches, we can convert 1 foot to 12 inches. Show more…

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What is the scale factor if the scale is 8 inches $=1$ foot?

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Key Concepts

Ratio and Proportional Reasoning

A ratio is a comparison between two quantities that shows how many times one value contains or is contained within the other. In scale drawings, the consistent ratio between the drawing measurements and the actual measurements ensures that the entire representation is proportionally accurate.

Unit Conversion

Unit conversion is the process of changing a quantity expressed in one set of units to another, ensuring that the comparison between different measurements is valid. When determining scale factors, it is crucial to convert all measurements to the same unit so that the ratio accurately reflects the relationship between the drawing and the real object.

Scale Factor

A scale factor is a multiplier that relates a measurement on a drawing or model to a corresponding measurement in real life. It is determined by converting both measurements to the same units and forming a ratio, which then allows for scaling up or down consistently across all dimensions.

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