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An Internet store charges a base fee of $10 plus $1.75 per pound to ship items. The table shows samples of their shipping rates. Fill in the missing values in the table. NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature twice per question.(3 points)Weight of Package(in pounds)Shipping Cost(in dollars)213.50518.757925.75101739.75Derek wants to ship items that weigh a total of 7 pounds, and Keisha wants to ship items that weigh a total of 10 pounds. Keisha spent more than Derek.Skip to navigation

1 answer

To find the shipping costs based on the weight of the packages, we will use the formula given for shipping costs:

Shipping Cost = Base Fee + (Cost per Pound × Weight of Package)

Where:

  • Base Fee = $10
  • Cost per Pound = $1.75

Now, let's calculate the shipping costs for different weights:

  1. For 2 pounds: \[ \text{Shipping Cost} = 10 + (1.75 \times 2) = 10 + 3.5 = 13.50 \]

  2. For 5 pounds: \[ \text{Shipping Cost} = 10 + (1.75 \times 5) = 10 + 8.75 = 18.75 \]

  3. For 7 pounds (Derek's shipment): \[ \text{Shipping Cost} = 10 + (1.75 \times 7) = 10 + 12.25 = 22.25 \]

  4. For 9 pounds: \[ \text{Shipping Cost} = 10 + (1.75 \times 9) = 10 + 15.75 = 25.75 \]

  5. For 10 pounds (Keisha's shipment): \[ \text{Shipping Cost} = 10 + (1.75 \times 10) = 10 + 17.5 = 27.50 \]

Now we can fill in the missing values in the table based on our calculations:

| Weight of Package (in pounds) | Shipping Cost (in dollars) | |-------------------------------|-----------------------------| | 2 | 13.50 | | 5 | 18.75 | | 7 | 22.25 | | 9 | 25.75 | | 10 | 27.50 |

Conclusion:

  • Derek's shipping cost for 7 pounds is $22.25.
  • Keisha's shipping cost for 10 pounds is $27.50.
  • Therefore, Keisha spent more than Derek.