Final answer:
To find the height of a model Stegosaurus at a museum gift shop, one must divide the actual height of the real Stegosaurus (4 meters) by the scale factor (0.16 m per 1 cm) to get a model height of 25 centimeters.
Step-by-step explanation:
The question asks us to calculate the height of a model Stegosaurus based on a scale factor. The scale factor given is 1 cm = 0.16 m, and the actual height of the real Stegosaurus is 4 meters. To determine the height of the model in centimeters, we must calculate the following:
• First, identify the scale factor: 1 cm = 0.16 m.
• Then, convert the actual height of the Stegosaurus from meters to centimeters using the scale factor.
• Multiply the actual height by the reciprocal of the scale factor to find the height of the model.
The scale factor is essentially a ratio that represents the relationship between the model's units and the actual units. By using the reciprocal of the scale factor, we can find the proportional height of the model in centimeters.
To perform the calculation: Actual height of the Stegosaurus = 4 m Scale factor = 1 cm / 0.16 m Height of model = actual height / (1 scale cm / 0.16 m actual) Height of model = 4 m / 0.16 m per model cm Height of model = 4 m / 0.16 m × 1 cm Height of model = 25 cm
Therefore, the model Stegosaurus stands 25 centimeters tall.