Question: 7. A stop sign has an actual width of 60 cm. Determine the scale of the diagram below if the…

7. A stop sign has an actual width of 60 cm. Determine the scale of the diagram below if the diagram measures 3.6 cm. State your answer as a unit rate of actual width per centimeter in the diagram.

\[ \text{width} = 60 \, \text{cm} \] \[ \text{length} = 3.6 \, \text{cm} \]

Solution

Step 1 Identify the actual width and the diagram width. \[ \text{Actual width} = 60 \text{ cm} \\ \text{Diagram width} = 3.6 \text{ cm} \] Step 2 Set up the ratio of actual width to diagram width to determine the scale. \[ \text{Scale} = \frac{\text{Actual width}}{\text{Diagram width}} = \frac{60}{3.6} & \] Step 3 Calculate the unit rate. \[ \text{Scale} = 16.\overline{6} \text{ cm per cm} & \]