Final answer:
To determine the scale model of the truck, convert the actual length to inches, then divide the model's length by the actual length to obtain the scale factor. In this case, the model is 7 inches long and the actual truck is 168 inches long, leading to a scale of 1:24.
Step-by-step explanation:
To find the scale model of the truck, we first need to make sure that we are using consistent units. We convert the actual truck's length from feet to inches because the model's length is given in inches. There are 12 inches in a foot, so the actual truck is 14 feet x 12 inches/foot = 168 inches long.
Next, we set up a ratio to represent the scale factor. We have the model truck's length (7 inches) and the real truck's length (168 inches).
The scale factor can be calculated as follows:
Scale Factor = Model Length / Actual Length
Scale Factor = 7 inches / 168 inches
Scale Factor = 1 / 24
The scale model for the truck is therefore 1:24, which means that each inch of the model represents 24 inches of the actual truck.