Answer:
-18.75%
Step-by-step explanation:
The formula you can use to find the percentage of change is:
[tex]\%C = \frac{X_f-X_i}{X_i} * 100\%[/tex]
Where [tex]X_f[/tex] is the final amount and [tex]X_i[/tex] is the initial amount and %C is the percentage of change.
In this problem we know that the initial length of the table is:
[tex]L = 8\ feet[/tex]
Then [tex]X_i = 8[/tex]
The final length is:
[tex]L = 6.5\ feet[/tex]
Then [tex]X_f = 6.5[/tex]
Note that there was a reduction in length, therefore the change will be negative.
[tex]\%C = \frac{6.5-8}{8} * 100\%[/tex]
[tex]\%C = -18.75\%[/tex]
Finally the percent of change in length is -18.75%
