Final answer:
Changing scale from 8X10 to 14X17 represents a change in the scale factor, which determines the relationship between the dimensions in the drawing and the actual object sizes. Scale factors are used to maintain accurate proportions when resizing objects or drawings.
Step-by-step explanation:
When changing scale drawings, the scale factor is crucial. If we use a 14X17 instead of an 8X10 scale, the size of the objects in the drawing increases, and the scale factor changes. We use proportions to determine the actual dimensions from the scale dimensions.
For instance, if a dimension on a drawing is given and we know the scale factor, we can find the actual dimension using a proportion. For example, if the scale factor is 1/4":4' (1/4" in the drawing represents 4' in actual size), and the scale measurement is 16", we set up the proportion as:
scale/actual = 1/160
and solve for the actual size. The actual dimension here would be 64 feet since 16" times the scale factor of 4' per 1/4" equals 64'. When changing the scale, the original proportion must be adjusted accordingly to maintain accurate scaling. If the scale model uses a 14x17 dimension instead of an 8x10, we can say that the scale factor has changed proportionally, and we should use the new scale to determine the actual dimensions.