Respuesta :
By comparing per unit rate (highest and least) of the rope we can assess the worst and best deal.
By comparing the unit rates of the rope, Option (D) will be the answer.
If 10 feet rope costs $7,
Per unit rate of the rope = [tex]\frac{\text{Total cost of the rope}}{\text{Length of the rope}}[/tex]
= [tex]\frac{7}{10}[/tex]
= $0.70 per feet
If 20 feet rope costs $13.00,
Per unit rate of the rope = [tex]\frac{13}{20}[/tex]
= $0.65 per feet
If 50 feet rope costs $28,
Per unit rate of the rope = [tex]\frac{28}{50}[/tex]
= $0.56 per feet
If 100 feet rope costs $57.50,
Per unit rate of the rope = [tex]\frac{57.50}{100}[/tex]
= $0.575 per feet
Since, per unit rate $0.70 per feet is the highest so "10 feet for $7.00" will be the worst deal.
Similarly, $0.56 per feet is the least so "50 feet for $28" will be the best deal.
Difference in the worst and the best deal = $0.70 - $0.56
= $0.14 Or 14 cents
Hence, savings per unit between the worst and worst deal will be 14 cents.
Option (D) will be the correct option.
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