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The height of a window is 0.6 feet less than 2.5 times its width. If the height of the window is 4.9 feet, which equation can be used to determine [tex]\( x \)[/tex], the width of the window?

A. [tex]\( 2.5x + 0.6 = 4.9 \)[/tex]
B. [tex]\( 2.5x - 0.6 = 4.9 \)[/tex]
C. [tex]\( 0.6x + 2.5 = 4.9 \)[/tex]
D. [tex]\( 0.6x - 2.5 = 4.8 \)[/tex]


Sagot :

To solve this problem, let's carefully read through the given information and match it with the correct equation.

We are given:
- The height of the window is 0.6 feet less than 2.5 times its width.
- The height of the window is 4.9 feet.

We need to represent these statements in an equation to find the width, denoted as [tex]\( x \)[/tex].

1. The phrase "0.6 feet less than 2.5 times its width" translates to our equation the following way:
- "2.5 times its width" is represented as [tex]\( 2.5x \)[/tex].
- "0.6 feet less than that" means we subtract 0.6 from [tex]\( 2.5x \)[/tex].

So, the equation becomes:
[tex]\[ 2.5x - 0.6 \][/tex]

2. Given that the height of the window is 4.9 feet, we set the equation equal to 4.9:
[tex]\[ 2.5x - 0.6 = 4.9 \][/tex]

Therefore, the correct equation that can be used to determine [tex]\( x \)[/tex], the width of the window, is:
[tex]\[ 2.5x - 0.6 = 4.9 \][/tex]

This matches the provided answer:
[tex]\[ \boxed{2.5 x - 0.6 = 4.9} \][/tex]

The other provided equations do not correctly represent the problem statements.