Question

A figurine of a ballerina is based on a scale of 0.5 in. : 4 in. If the real ballerina used as a model for the figurine is 68 inches tall, what is the height of the figurine?

Height of the figurine = ___________ inches. (Fill in the blank)

Answer 1

The height of the figurine of a ballerina based on a scale of 0.5 in.: 4 in. is 8.5 inches, calculated by dividing the real height of 68 inches by the scale factor of 8.

Step-by-step explanation:

To determine the height of the figurine of a ballerina based on the scale of 0.5 in.: 4 in., you would need to set up a proportion. The real ballerina is 68 inches tall, and the scale factor is 0.5 in.: 4 in., which simplifies to a scale of 1:8. This means that for every 8 inches of the actual height, the model has 1 inch of height.

To find the height of the figurine, you divide the actual height by the scale factor:

• Actual height of the real ballerina = 68 inches
• Scale factor = 8

Height of the figurine = Actual height / Scale factor

Height of the figurine = 68 inches / 8 = 8.5 inches

So, the height of the figurine would be 8.5 inches.