Final answer:
To find the scale factor of the model SUV, convert the actual SUV's length to inches, then divide the model's length by the actual SUV's length. The scale factor is 1/8 or 1:8.
Step-by-step explanation:
To determine the scale factor of the model SUV compared to the real SUV, we first need to convert all measurements to the same unit. The real SUV is described as 14 and 2/3 feet long. To express this as an improper fraction, we have 14 × 3 = 42, plus 2 equals 44, so the length is 44/3 feet. Since there are 12 inches in a foot, we convert this to inches by multiplying 44/3 by 12, resulting in 176 inches.
Now, the scale factor is the ratio of the length of the model to the length of the actual SUV. The model SUV is 22 inches long. Therefore, the scale factor is:
Scale Factor = Length of Model / Length of Actual SUV = 22 inches / 176 inches = 1/8.
The scale factor of the model compared to the real SUV is therefore 1/8 or 1:8.