Question

The amount of available disk space on a digital video recorder changed from 81% to 9% after recording 12 episodes of a show. Each episode requires the same amount of disk space. Which statement is true? The change in available disk space is 6% per episode. The change in available disk space is −6% per episode. The change in available disk space is 7.5% per episode. The change in available disk space is −7.5% per episode.

Answer 1

The change in available disk space is −6% per episode

Explanation:

Given that :

Available disk space changed from 81% to 9% after recording 12 episodes of a show

Each episode requires the same amount of disk space

Change in disk space =

Final % = 9%

Initial percentage = 81%

Change = final value - initial value :

(9 - 81)% = -72%

72% reduction in disk space

Space taken up per episode :

Reduction in space / number of episodes

= -72% / 12

=- 6%