Question

Veronica decides that the height of the miniature clock needs to be 5 inches to fit in the dollhouse. Write an equation you could use to find the scale factor from the real clock to the miniature clock. Use the height of the miniature clock in your equation.

a)
Scale factor
=
Height of real clock
Height of miniature clock
Scale factor=
Height of miniature clock
Height of real clock
​

b)
Scale factor
=
Height of miniature clock
Height of real clock
Scale factor=
Height of real clock
Height of miniature clock
​

c)
Scale factor
=
Height of real clock
−
Height of miniature clock
Scale factor=Height of real clock−Height of miniature clock
d)
Scale factor
=
Height of miniature clock
+
Height of real clock
Scale factor=Height of miniature clock+Height of real clock

Answer 1

The correct equation to find the scale factor from the real clock to the miniature clock is 'Scale factor = Height of real clock / Height of miniature clock'. This scale factor helps determine the proportional size of other parts of the model if needed.

Step-by-step explanation:

To find the scale factor that Veronica would use to model a real clock to a miniature clock for her dollhouse, the correct equation would be:

Scale factor = Height of real clock / Height of miniature clock

Therefore, the correct option from the ones provided is:

• b) Scale factor = Height of miniature clock / Height of real clock
• Scale factor = Height of real clock / Height of miniature clock

By dividing the height of the real clock by the height of the miniature clock, you establish the ratio of their sizes. This ratio can then be used to identify the size of other elements of the miniature if needed. For example:

1. If Haley's school building is 30 feet tall, and the scale she used for the model was 1 inch = 6 feet, then the height of the school in her scale model is 5 inches, as you calculate it by dividing the real height by the scale (30 feet / 6 feet per inch).
2. The width of Haley's school would be 20 inches in the scale model (120 feet / 6 feet per inch).
3. The length of Haley's school would be 30 inches in the scale model (180 feet / 6 feet per inch).
4. The distance between the post office and City Hall on Eddie's map would be 7 centimeters (56 meters / 8 meters per centimeter).