Respuesta :

Answer:

Explanation:

Given:

1 inch corresponds to 4 feet

4 and 1/4 inches = ?

We can determine the value for 4 and 1/4 inch line on the blueprint by using ratio. We let x be the value in feet:

[tex]\frac{x}{4\frac{1}{4}\text{ inches}}=\frac{4\text{ f}eet}{1\text{ inch}}[/tex]

Simplify and rearrange

[tex]\begin{gathered} \frac{x}{4\frac{1}{4}\text{ inches}}=\frac{4\text{ f}eet}{1\text{ inch}} \\ \frac{x}{\frac{17}{4}}=\frac{4}{1} \\ x=\frac{4(\frac{17}{4})}{1} \\ x=\frac{17}{1} \\ x=17\text{ f}eet \end{gathered}[/tex]

Therefore, 4 and 1/4 inch line corresponds to 17 feet.