Question

the length, in inches, of a box is 3 inches less than twice its width, in inches. which of the following gives the length, ( l ) inches, in terms of the width, ( w ) inches, of the box?

( \bigcirc ) ( l = \frac{1}{2}w + 3 )

( \bigcirc ) ( l = w + 3 )

( \bigcirc ) ( l = w - 3 )

( \bigcirc ) ( l = 2w + 3 )

( \bigcirc ) ( l = 2w - 3 )

Explanation:

Step1: Analyze the problem statement

We need to express the length \( l \) in terms of the width \( w \). The problem says "the length is 3 inches less than twice its width".

Step2: Translate the words into an equation

"Twice its width" means \( 2w \). "3 inches less than twice its width" means we subtract 3 from \( 2w \). So the equation for length \( l \) is \( l = 2w - 3 \).

Answer:

\( l = 2w - 3 \) (the last option: \( I = 2w - 3 \))