Answer:
[tex]2\frac{1}{4}[/tex] inches.
Step-by-step explanation:
Please find the attached file for the line plot.
We are asked to find the total length of 3/4 inch buttons, if Kara lines up all.
We can see from our given line plot that there are 3 buttons having 3/4 inch length.
To find the total length of 3/4 inch buttons, we will multiply 3 by length of one button that is 3/4 as shown below:
[tex]\text{Total length of }\frac{3}{4}\text{ inch buttons}=3\times \frac{3}{4}[/tex]
[tex]\text{Total length of }\frac{3}{4}\text{ inch buttons}=\frac{3\times 3}{4}[/tex]
[tex]\text{Total length of }\frac{3}{4}\text{ inch buttons}=\frac{9}{4}[/tex]
Convert to mixed fraction:
[tex]\text{Total length of }\frac{3}{4}\text{ inch buttons}=\frac{4\times 2+1}{4}[/tex]
[tex]\text{Total length of }\frac{3}{4}\text{ inch buttons}=2\frac{1}{4}[/tex]
Therefore, the total length will be [tex]2\frac{1}{4}[/tex] inches, if Kara lines up all the 3/4-inch buttons.