To solve this problem, we need to determine the scale factor of a scale drawing that measures 8 units wide compared to an original that measures 4 units wide.

Step-by-step Solution:

1. Understand the Scale Factor: The scale factor is the ratio of the dimensions of the scaled drawing to the dimensions of the original object. In this case, we are comparing the width of the drawing (8 units) to the width of the original (4 units).

2. Calculate the Scale Factor: The scale factor can be calculated using the formula: $\text{Scale Factor} = \frac{\text{Width of the Drawing}}{\text{Width of the Original}}$ Substituting the given values: $\text{Scale Factor} = \frac{8}{4} = 2$

3. Interpret the Result: A scale factor of 2 means that the drawing is 2 times larger than the original. Therefore, the scale factor is written as a ratio of 2:1.

Answer:

The correct answer is c) 2:1.

Would you like more details on this problem or have any questions?

Related Questions:

1. How do you calculate the scale factor if the dimensions are reversed?
2. What would the scale factor be if the drawing were smaller than the original?
3. How do scale factors apply to areas and volumes?
4. What is the effect of a scale factor of 1:1 on a drawing?
5. How do you determine the new dimensions of a drawing given a scale factor?

Tip:

Always ensure that you divide the dimensions in the correct order (scaled to original) when calculating a scale factor.