Question

Find the scale factor for 8 in : 2 ft

Answer 1

`1\colon3`

Step-by-step explanation

to solve this we need to get the ratio, to do this get the same unit measure in both sides of the quotient

so

`8\text{ in : 2 ft}`

since

`1\text{ ft=12 in}`

replace,

`\begin{gathered} 8\text{ in : 2 ft} \\ 8\text{ in : 2}(12\text{ in)} \\ 8\text{ in: 24 in} \\ \text{divide both sides by 8} \\ \frac{8\text{ in}}{8}=\frac{24\text{ in}}{8} \\ 1\text{ in:3 in} \end{gathered}`

it means the scales factor is

`1\colon3`