Solved: i-Ready Use Scale Factors β€” Quiz β€” Level G β€’ The scale drawing is a map of the campus of [Math]

i-Ready Use Scale Factors β€” Quiz β€” Level G β€’ The scale drawing is a map of the campus of Central Middle School. The school board needs to know the distance from the art room to the gym in order to build a walkway. What is the scale factor from the map to the actual school? ◀》 scale factor =β–‘ DONE

Scale factor = 1:360.

Explanation

To find the scale factor, we need to compare the distances on the map to the actual distances. We know that the distance from the art room to the gym on the map is 1 inch, and the actual distance is 10 yards. Since 1 yard is equal to 3 feet, and 1 foot is equal to 12 inches, we can convert 10 yards to inches by multiplying by 3 and then by 12.

10 yards * 3 feet/yard * 12 inches/foot = 360 inches

So, the scale factor from the map to the actual school is 1 inch on the map to 360 inches in reality.

This question focuses on understanding scale factors and their application in real-world scenarios, specifically using a map. To solve this, you need to recognize that a scale factor represents the ratio between a measurement on a scale drawing (like the map) and the corresponding measurement in reality (the actual school). The problem asks for the scale factor *from the map to the actual school*, which means you need to determine how much larger the actual distance is compared to the distance shown on the map. Typically, a scale factor is given or can be calculated if you have a known correspondence between a map distance and an actual distance. In this case, you’ll need to find that information on the map itself (often in a legend or stated near the scale drawing) to set up a ratio and calculate the scale factor. This task helps develop your ability to interpret scaled representations and apply proportional reasoning to find actual dimensions from scaled ones.



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