Question

The actual Mount Rushmore carving was made from a scale model with a scale of 1 inch = 1 foot. On the model, Teddy Roosevelt's mustache was 1 foot by 8 inches long. What is the length of Teddy Roosevelt's mustache on the monument?

Answer 1

The length of Teddy Roosevelt's mustache on the monument is 1 foot by 2/3 foot.

Step-by-step explanation:

To find the length of Teddy Roosevelt's mustache on the monument, we need to use the scale factor provided. The scale model has a scale of 1 inch = 1 foot. Given that the mustache on the model is 1 foot by 8 inches long, we can convert it to feet by dividing both sides by 12 (since there are 12 inches in a foot). This gives us a length of 1 foot by 2/3 foot on the model. Now, we can use the scale factor to find the length of the mustache on the actual monument. Multiplying the length on the model by the scale factor of 1 inch = 1 foot, we get a length of 1 foot by 2/3 foot on the monument.