Question

1. look at the strip diagram below.which of the following represents the value of $x$?$x = 0.25$$x = \frac{1}{4}$$x = 2\frac{3}{4}$$x = 2.25$clear all

Explanation:

Step1: Set up equation from diagram

$2x - 4 = \frac{1}{2}$

Step2: Isolate term with $x$

$2x = \frac{1}{2} + 4$
$2x = \frac{1}{2} + \frac{8}{2} = \frac{9}{2}$

Step3: Solve for $x$

$x = \frac{9}{2} \times \frac{1}{2} = \frac{9}{4}$

Step4: Convert to decimal/mixed number

$\frac{9}{4} = 2\frac{1}{4} = 2.25$

Answer:

C. $x = 2\frac{3}{4}$ is incorrect, the correct options are:
D. $x = 2.25$ and we can also note $\frac{9}{4}=2\frac{1}{4}$, but from the given choices, the correct ones matching the calculated value are:
D. $x = 2.25$

Wait, correction in step 2: $4$ is $\frac{8}{2}$, so $\frac{1}{2}+\frac{8}{2}=\frac{9}{2}$, then $x=\frac{9}{4}=2.25$, which is option D, and $2\frac{1}{4}$ is equivalent, but from the options, D is $x=2.25$ which matches.

Final Answer:

D. $x = 2.25$