Final answer:
Scale models require using proportions to determine model sizes from actual sizes. Asharah's model car, at a 1/4 inch to 1 foot scale, is 3 inches long. Kenya's model, at a 1/2 inch to 1 foot scale, is 6 inches long.
Step-by-step explanation:
To solve the scale model problems, we need to apply the concept of proportions. Proportions help us determine the length of model objects by using scale factors that represent the relationship between the model's dimensions and the actual object's dimensions.
Example 1:
Asharah's model car is based on an actual car that is 12 feet long, with a scale of 1/4 inch = 1 foot. So, for every foot of the actual car, the model is 1/4 inch long. To find the length of the model, we multiply 12 feet by 1/4 inch:
12 feet * 1/4 inch/foot = 3 inches
Therefore, Asharah's model car is 3 inches long.
Example 2:
Kenya's model uses a different scale of 1/2 inch = 1 foot. Using the same approach, we multiply the length of the actual car by the scale factor:
12 feet * 1/2 inch/foot = 6 inches
So, Kenya's model car is 6 inches long.