Certainly! Let's break this down step-by-step.
### Part (a): Length of the Real Car
The length of a model car is one-tenth the size of the real car. If the model car is 40 cm long, we can find the length of the real car by multiplying the length of the model car by the scaling factor (which is 10 in this case).
[tex]\[ \text{Length of the real car} = \text{Length of the model car} \times \text{Scaling factor} \][/tex]
Given:
- Length of the model car = 40 cm
- Scaling factor = 10
[tex]\[ \text{Length of the real car} = 40 \, \text{cm} \times 10 = 400 \, \text{cm} \][/tex]
So, the length of the real car is 400 cm.
### Part (b): Height of the Model Car
The real car is 150 cm high. Since the model car is one-tenth the size of the real car, we can find the height of the model car by dividing the height of the real car by the scaling factor.
[tex]\[ \text{Height of the model car} = \frac{\text{Height of the real car}}{\text{Scaling factor}} \][/tex]
Given:
- Height of the real car = 150 cm
- Scaling factor = 10
[tex]\[ \text{Height of the model car} = \frac{150 \, \text{cm}}{10} = 15 \, \text{cm} \][/tex]
So, the height of the model car is 15 cm.
### Part (c): Diameter of the Wheel on the Real Car
A wheel on the model car has a diameter of 4.25 cm. Similar to part (a), we can find the diameter of the wheel on the real car by multiplying the diameter of the wheel on the model car by the scaling factor.
[tex]\[ \text{Diameter of the wheel on the real car} = \text{Diameter of the wheel on the model car} \times \text{Scaling factor} \][/tex]
Given:
- Diameter of the wheel on the model car = 4.25 cm
- Scaling factor = 10
[tex]\[ \text{Diameter of the wheel on the real car} = 4.25 \, \text{cm} \times 10 = 42.5 \, \text{cm} \][/tex]
So, the diameter of the wheel on the real car is 42.5 cm.
To summarize:
1. The length of the real car is 400 cm.
2. The height of the model car is 15 cm.
3. The diameter of the wheel on the real car is 42.5 cm.
