Answer :
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.
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.
