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 $x$, the width of the window?
A. $2.5 x+0.6=4.9$
B. $2.5 x-0.6=4.9$
C. $0.6 x+2.5=4.9$
D. $0.6 x-2.5=4.9
Answer (1)
The problem states that the height of the window is 0.6 feet less than 2.5 times its width, and the height is 4.9 feet. The equation to find the width x is: 2.5 x − 0.6 = 4.9
Explanation
Setting up the equation Let x be the width of the window. The problem states that the height of the window is 0.6 feet less than 2.5 times its width. This can be expressed as 2.5 x − 0.6 . We are also given that the height of the window is 4.9 feet. Therefore, we can set up the equation 2.5 x − 0.6 = 4.9 to determine the width of the window.
Finding the equation The equation that can be used to determine x , the width of the window, is 2.5 x − 0.6 = 4.9 .
Examples
Imagine you are designing a rectangular window for a house. You know the height of the window should be 4.9 feet, and you want the height to be 0.6 feet less than 2.5 times the width. By setting up the equation 2.5 x − 0.6 = 4.9 , you can calculate the exact width needed to meet these specifications. This type of problem helps in practical design and construction scenarios where dimensions need to be precise.
