Question

A board is cut so that it’s length is changed from 8 feet to 6.5 feet. What is the percent of change in length?

Answer 1

-18.75%

Explanation:

The formula you can use to find the percentage of change is:

`\%C = (X_f-X_i)/(X_i) * 100\%`

Where
`X_f` is the final amount and
`X_i` is the initial amount and %C is the percentage of change.

In this problem we know that the initial length of the table is:

`L = 8\ feet`

Then
`X_i = 8`

The final length is:

`L = 6.5\ feet`

Then
`X_f = 6.5`

Note that there was a reduction in length, therefore the change will be negative.

`\%C = (6.5-8)/(8) * 100\%`

`\%C = -18.75\%`

Finally the percent of change in length is -18.75%