Question
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.
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(3 points)
Weight of Package
(in pounds)
Shipping Cost
(in dollars)
2 13.50
5 18.75
7
20.50
9 25.75
10
27.50
17 39.75
Derek 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.
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)
2 13.50
5 18.75
7
20.50
9 25.75
10
27.50
17 39.75
Derek 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.
Answers
GPT-4o mini
To fill in the missing values in the shipping cost table, we can use the shipping cost formula given by the Internet store:
Shipping Cost = Base Fee + (Cost per Pound × Weight)
Where:
- Base Fee = $10
- Cost per Pound = $1.75
- Weight is the weight of the package in pounds.
Let's calculate the missing shipping costs step by step.
1. **For weight = 7 pounds:**
\[
\text{Shipping Cost} = 10 + (1.75 \times 7) = 10 + 12.25 = 22.25
\]
So, the shipping cost for 7 pounds is **$22.25**.
2. **For weight = 10 pounds:**
\[
\text{Shipping Cost} = 10 + (1.75 \times 10) = 10 + 17.50 = 27.50
\]
So, the shipping cost for 10 pounds is **$27.50**, but this value is already provided in the table.
Now let's summarize the shipping costs in the table:
- **Weight 2 pounds**: Shipping Cost = $13.50 (provided)
- **Weight 5 pounds**: Shipping Cost = $18.75 (provided)
- **Weight 7 pounds**: Shipping Cost = **$22.25** (calculated)
- **Weight 9 pounds**: Shipping Cost = $25.75 (provided)
- **Weight 10 pounds**: Shipping Cost = **$27.50** (provided)
- **Weight 17 pounds**: Shipping Cost = $39.75 (provided)
Regarding Derek and Keisha:
- For Derek (7 pounds): Shipping Cost = $22.25
- For Keisha (10 pounds): Shipping Cost = $27.50
To find out how much more Keisha spent than Derek:
\[
\text{Difference} = 27.50 - 22.25 = 5.25
\]
Derek 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 **$5.25 more** than Derek.
Shipping Cost = Base Fee + (Cost per Pound × Weight)
Where:
- Base Fee = $10
- Cost per Pound = $1.75
- Weight is the weight of the package in pounds.
Let's calculate the missing shipping costs step by step.
1. **For weight = 7 pounds:**
\[
\text{Shipping Cost} = 10 + (1.75 \times 7) = 10 + 12.25 = 22.25
\]
So, the shipping cost for 7 pounds is **$22.25**.
2. **For weight = 10 pounds:**
\[
\text{Shipping Cost} = 10 + (1.75 \times 10) = 10 + 17.50 = 27.50
\]
So, the shipping cost for 10 pounds is **$27.50**, but this value is already provided in the table.
Now let's summarize the shipping costs in the table:
- **Weight 2 pounds**: Shipping Cost = $13.50 (provided)
- **Weight 5 pounds**: Shipping Cost = $18.75 (provided)
- **Weight 7 pounds**: Shipping Cost = **$22.25** (calculated)
- **Weight 9 pounds**: Shipping Cost = $25.75 (provided)
- **Weight 10 pounds**: Shipping Cost = **$27.50** (provided)
- **Weight 17 pounds**: Shipping Cost = $39.75 (provided)
Regarding Derek and Keisha:
- For Derek (7 pounds): Shipping Cost = $22.25
- For Keisha (10 pounds): Shipping Cost = $27.50
To find out how much more Keisha spent than Derek:
\[
\text{Difference} = 27.50 - 22.25 = 5.25
\]
Derek 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 **$5.25 more** than Derek.