Final answer:
The constant of proportionality for the ratio of the number of legs to the number of eyes in a spider with 8 legs and 6 eyes is 1.33. This represents the simplified version of 4 divided by 3, matching option (a). Scale drawings require the conversion of actual sizes to scaled sizes using the scale factor. Therefore, the constant of proportionality is 1.33, which is an option (a).
Step-by-step explanation:
To find the constant of proportionality for the ratio of the number of legs to the number of eyes in a spider, we divide the number of legs by the number of eyes. Since one species of spider has 8 legs and 6 eyes, the constant of proportionality is calculated as follows:
Number of legs / Number of eyes = 8 / 6 = 4 / 3
When simplified, 4 / 3 equals approximately 1.33. Therefore, the constant of proportionality is 1.33, which is an option (a).
As for scale drawings, when working with a scale such as 0.5 centimeters = 4 millimeters, to find the length of an object in a drawing, we must convert the actual length to the length in the drawing using the given scale. Specific examples, scale factors, and conversions are necessary to solve these problems related to the sizes and ratios of drawings and actual objects. Therefore, the constant of proportionality is 1.33, which is an option (a).