Your boss sends you to the hardware store to buy tie down rope. He tells you to buy the best deal. What is the savings per unit between the best deal and worst deal?10 feet for $7.00
20 feet for $13.00
50 feet for $28.00
100 feet for $57.50
 A)$50.00
B) $25.00
C) 5 cents
D) 14 cents

Respuesta :

20×7.00= 100
50×7.00=350
100×7.00=700
b

 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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