Answer: An expression for the length of bed D is [tex]\frac{7}{8}(\frac{7}{8}(\frac{7}{8}\times7))[/tex]
The length of bed D= 4.7 ft
Step-by-step explanation:
Given: Bed A is seven feet long.
⇒ The length of bed A= 7 ft.
Bed B is 7/8 of bed A.
⇒ The length of bed B = [tex]\frac{7}{8}\times7\ ft[/tex]
Bed C is 7/8 of bed B.
⇒ The length of bed C= [tex]\frac{7}{8}(\frac{7}{8}\times7)[/tex]
Bed D is 7/8 of C.
⇒ The length of bed D= [tex]\frac{7}{8}(\frac{7}{8}(\frac{7}{8}\times7))[/tex]
[tex]=\frac{7}{8}\times\frac{7}{8}\times\frac{7}{8}\times7\\\\=\frac{2401}{64}=4.689453\approx 4.7\ ft.[/tex]
