Question

You work for a Carpet company you sell carpet at these prices is 100 ft.² for $67 200 ft.² for $130 400 ft.² for $240 and 800 ft.² for $504 what is the approximate percentage difference of the best and worst carpet deals according to their unit costs?

Answer 1

The approximate percentage difference of the best and worst carpet deals according to their unit costs is approximately 11.67%.

Step-by-step explanation:

To find the approximate percentage difference between the best and worst carpet deals according to their unit costs, we need to calculate the unit cost for each deal and then find the percentage difference between the highest and lowest unit costs.

Unit cost = price / area

For the 100 ft.² deal, the unit cost is $67 / 100 = $0.67/ft.²

For the 200 ft.² deal, the unit cost is $130 / 200 = $0.65/ft.²

For the 400 ft.² deal, the unit cost is $240 / 400 = $0.60/ft.²

For the 800 ft.² deal, the unit cost is $504 / 800 = $0.63/ft.²

The highest unit cost is $0.67 and the lowest unit cost is $0.60. The percentage difference between them is:

Percentage difference = ((highest value - lowest value) / lowest value) x 100%

Percentage difference = (($0.67 - $0.60) / $0.60) x 100% ≈ 11.67%