Final answer:
To find the Scale Factor from A to B, write the proportion comparing scale dimensions to actual dimensions. If given in different units, convert them to be the same before simplifying the ratio. The Scale Factor indicates how much larger or smaller one object is relative to the other.
Step-by-step explanation:
Finding a Scale Factor (SF) is a common task in geometry and other aspects of mathematics, particularly when dealing with similar shapes, maps, or models. The scale factor describes the ratio of lengths in a scaled drawing or model to the corresponding lengths in the real object. To find the scale factor from one shape to another, a ratio or fraction is formed from the two corresponding lengths. If the question refers to finding the Scale Factor from A to B with the listed card values, it seems like there may be some missing information as there are no corresponding dimensions or lengths provided.
Let's examine the given problem step-by-step using provided examples:
- Write the ratio or proportion that compares the scale dimensions to the actual dimensions. This is usually in the form of scale measurement:actual measurement.
- If a problem states that the scale factor between two shapes or models is, for instance, 2 inches to 8 feet, the first step is to convert units so they are the same. In this case, 8 feet is equivalent to 96 inches, so the scale factor would be 2/96, which can be simplified to 1/48.
- The scale factor can also be represented in different units, such as when dealing with a model boat. If the actual length of the boat is 24 feet and the scale factor used is 1/36, the length of the model, in inches, can be calculated by multiplying the actual length by the scale factor after converting feet to inches (24 feet = 288 inches). Therefore, the model boat would be 288 inches × 1/36 = 8 inches long.
It's worth mentioning that when looking for the scale factor from A to B (SF(A-B)), it implies how much larger or smaller object B is compared to object A. In other words, the scale factor would be how many times B's measurement is of A's.