Answer:
Part a) The reasoning in the procedure
Part b) The height of the building would be 225 feet
Step-by-step 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
[tex]z=\frac{x}{y}[/tex]
we have
[tex]x=135\ ft\\y=9\ floors[/tex]
substitute the values
[tex]z=\frac{135}{9}\ \frac{ft}{floors}[/tex]
To find out the unit rate divide the height of the building by the number of floors
so
[tex]\frac{135}{9}=15\ \frac{ft}{floor}[/tex]
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
[tex]\frac{135}{9}\ \frac{ft}{floors}=\frac{x}{15}\ \frac{ft}{floors}\\\\x=135(15)/9\\\\x=225\ ft[/tex]
