From the uploaded image, the problem requires calculating the scale and determining whether the scale factor is greater than or less than 1.

Step 1: Understanding the problem

• The real car is 8 ft wide, while the model car is 8 in wide.
• Similarly, the real car's length is 15 ft, and the model car's length is 5 in.

We need to:

1. Calculate the scale (e.g., the ratio of the dimensions of the model to the real object).
2. Determine if the scale factor is greater than or less than 1.

Step 2: Converting to consistent units

To calculate the scale accurately, let's ensure both real and model dimensions are in the same units.

• Convert 8 ft to inches: $8 \, \text{ft} = 8 \times 12 = 96 \, \text{in}$
• Convert 15 ft to inches: $15 \, \text{ft} = 15 \times 12 = 180 \, \text{in}$

Step 3: Calculating the scale

The scale is given by the ratio of the model dimensions to the real dimensions.

1. For width: $\text{Scale for width} = \frac{\text{Model width}}{\text{Real width}} = \frac{8 \, \text{in}}{96 \, \text{in}} = \frac{1}{12}$

2. For length: $\text{Scale for length} = \frac{\text{Model length}}{\text{Real length}} = \frac{5 \, \text{in}}{180 \, \text{in}} = \frac{1}{36}$

Step 4: Determining the scale factor

The scale factor is a fraction less than 1, as the model is smaller than the real car. Therefore: $\text{The scale factor is less than 1.}$

Final Answer:

• What is the scale? The scale is 1:12 for width and 1:36 for length (depending on the dimension chosen).
• Will the scale factor be greater than 1 or less than 1? The scale factor is less than 1.

Do you want further details, such as visual examples or applications?

Relative Questions:

1. How is the scale factor used in real-world applications like blueprints or maps?
2. What are other examples where scale factors greater than 1 might occur?
3. How do you convert between scales when different units are involved?
4. Why might width and length scales differ in certain models?
5. What challenges arise when building to a specific scale, like in architecture or engineering?

Tip:

When calculating scales, always ensure all measurements are in the same unit before finding the ratio!