Question

Bed A is seven feet long. Bed B is 7/8 of bed A. Bed C is 7/8 of bed B. Bed D is 7/8 of C.

A. Come up with an expression for the length of bed D.
B. what is the length of bed D?

Answer 1

4.7

Explanation:

Answer 2

Answer: An expression for the length of bed D is
`(7)/(8)((7)/(8)((7)/(8)*7))`

The length of bed D= 4.7 ft

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 =
`(7)/(8)*7\ ft`

Bed C is 7/8 of bed B.

⇒ The length of bed C=
`(7)/(8)((7)/(8)*7)`

Bed D is 7/8 of C.

⇒ The length of bed D=
`(7)/(8)((7)/(8)((7)/(8)*7))`

`=(7)/(8)*(7)/(8)*(7)/(8)*7\\\\=(2401)/(64)=4.689453\approx 4.7\ ft.`