Answer:
[tex]3\frac{1}{4}[/tex] inches
Step-by-step explanation:
Height of the tallest conifer = [tex]9\frac{1}{2}[/tex] inches
Height of the shortest conifer = 6 + measure of one segment on the number line
Measure of one segment on the number line = [tex]\frac{6\frac{1}{2}-6}{2}[/tex]
= [tex]\frac{\frac{1}{2}}{2}[/tex]
= [tex]\frac{1}{4}[/tex]
Therefore, height of the shortest conifer = 6 + [tex]\frac{1}{4}[/tex]
= [tex]6\frac{1}{4}[/tex]
Difference in tallest and shortest conifer = [tex]9\frac{1}{2}- 6\frac{1}{4}[/tex]
= (9 - 6) + [tex](\frac{1}{2}- \frac{1}{4})[/tex]
= 3 + [tex]\frac{1}{4}[/tex]
= [tex]3\frac{1}{4}[/tex] inches