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
9 25.75
10
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.

Answer 1

To calculate the shipping cost based on the given rate, we can use the formula:

\[
\text{Shipping Cost} = \text{Base Fee} + (\text{Cost per Pound} \times \text{Weight})
\]

Given:
- Base Fee = $10
- Cost per Pound = $1.75

Using this formula, we can fill in the missing values in the table:

1. **Weight: 7 pounds**
\[
\text{Shipping Cost} = 10 + (1.75 \times 7) = 10 + 12.25 = 22.25
\]

2. **Weight: 10 pounds**
\[
\text{Shipping Cost} = 10 + (1.75 \times 10) = 10 + 17.50 = 27.50
\]

Now the completed table will look like this:

| Weight of Package (in pounds) | Shipping Cost (in dollars) |
| ------------------------------ | --------------------------- |
| 2 | 13.50 |
| 5 | 18.75 |
| 7 | 22.25 |
| 9 | 25.75 |
| 10 | 27.50 |
| 17 | 39.75 |

Now comparing Derek and Keisha:
- Derek (7 pounds) spent $22.25.
- Keisha (10 pounds) spent $27.50.

Since $27.50 (Keisha) is greater than $22.25 (Derek), Keisha spent more than Derek.