Question

The height of a building is proportional of the number of floors the figure shows the height of the building with 9 floors

Answer 1

Part a) The reasoning in the procedure

Part b) The height of the building would be 225 feet

Explanation:

The complete question in the attached figure

Part a)

Let

x ------> height of the building

y -----> the number of floors

z ----> the ratio of height of the building to the number of floors

`z=(x)/(y)`

we have

`x=135\ ft\\y=9\ floors`

substitute the values

`z=(135)/(9)\ (ft)/(floors)`

To find out the unit rate divide the height of the building by the number of floors

so

`(135)/(9)=15\ (ft)/(floor)`

That means ----> Each floor of the building has a height of 15 feet

Part b) How tall would the building be if it had 15 floors?

using proportion

Let

x -----> the height of the building

`(135)/(9)\ (ft)/(floors)=(x)/(15)\ (ft)/(floors)\\\\x=135(15)/9\\\\x=225\ ft`