Question

two models are made of the same house, but are made at different scales.
scale: 1 in. = ? ft. scale: 1 in. = 8 ft.
what is the scale of the larger model?
1 in = \\(\square\\) ft

Explanation:

Step1: Find actual length from smaller model

The smaller model has a length of \(6\frac{3}{4}\) in. with scale \(1\) in. \( = 8\) ft.
Actual length \(= 6\frac{3}{4} \times 8\). Convert \(6\frac{3}{4}\) to \(\frac{27}{4}\), so \(\frac{27}{4} \times 8 = 54\) ft.

Step2: Calculate scale for larger model

Larger model length is \(9\) in. Actual length is \(54\) ft.
Scale: \(1\) in. \(=\frac{54}{9}=6\) ft.

Answer:

\(6\)