Final answer:
To find the length of Leslie's sofa model in inches, multiply the actual length (6 feet) by the scale factor (1 inch per foot), which results in a model that is 6 inches long.
Step-by-step explanation:
Leslie is designing a sofa for her living room and wants to create a model to show the furniture maker. The scale of her model is 1 inch represents 1 foot. The question asks, based on this scale, what will be the length, in inches, of the model of her sofa?
To find the length of the sofa model in inches, we simply multiply the actual length of the sofa, which is 6 feet, by the scale factor, which in this case is 1 inch per foot. This calculation is as follows:
Length of the sofa model = Actual length of the sofa × Scale factor
Length of the sofa model = 6 feet × 1 inch/foot
Length of the sofa model = 6 inches.
Therefore, the model of Leslie's sofa will be 6 inches long.