Question

a model of a skyscraper is made so that 1 inch represents 75 feet what is the height of the actual building if the height of the model is 20 1/4 inches

Answer 1

Given the proportional relationship:

1 in = 75 feet

To get feet, of 20 1/4th inches, we have to multiply the inches by 75:

`\begin{gathered} 20(1)/(4)*75 \\ =(81)/(4)*75 \\ =(6075)/(4) \\ =1518(3)/(4)\text{ fe}et \end{gathered}`

Note: we converted 20 1/4th to improper fraction, then did the mulitplication.

The answer is:

`1518(3)/(4)\text{ feet}`