Question

unit 3 review
scale factor

• written as a proportion: = scale factor
• written as an equation: new = original × scale factor
• always check units match before calculating

try it: an architect is designing a new community center and creates a scale model of the building. the model uses a scale factor of 1:50, meaning 1 inch on the model equals 50 inches in real life. if one of the walls in the model is 6 inches tall, how tall will the actual wall be in real life?
solution:
actual height = × = inches

Explanation:

Step1: Identify given values

The height of the wall in the model is 6 inches and the scale - factor is 50 (since 1 inch on the model represents 50 inches in real life).

Step2: Apply the formula

We use the formula new = original×scale factor. Here, the original is the height of the wall in the model and the new is the height of the wall in real life. So, actual height = height of wall in model×scale factor.
Actual height=$6\times50 = 300$ inches.

Answer:

300