Question

An Internet store charges a base fee of $5 plus $1.50 per pound to ship items. The table shows samples of their shipping rates. Fill in the missing values in the table.(3 points)
Weight of Package

(in pounds)

Shipping Cost

(in dollars)

2 8.00
5 12.50
7
9 18.50
10
17 30.50
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 fill in the missing shipping costs based on the given formula, we can use the equation for the total shipping cost:

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

Given:
- Base Fee = $5
- Cost per Pound = $1.50

### Filling in the Missing Values

1. **For 2 pounds:**
\[
\text{Shipping Cost} = 5 + (2 \times 1.50) = 5 + 3 = 8.00
\]
(This value is already provided.)

2. **For 5 pounds:**
\[
\text{Shipping Cost} = 5 + (5 \times 1.50) = 5 + 7.50 = 12.50
\]
(This value is already provided.)

3. **For 7 pounds:**
\[
\text{Shipping Cost} = 5 + (7 \times 1.50) = 5 + 10.50 = 15.50
\]
(This is the value we need to fill in.)

4. **For 9 pounds:**
\[
\text{Shipping Cost} = 5 + (9 \times 1.50) = 5 + 13.50 = 18.50
\]
(This value is already provided.)

5. **For 10 pounds:**
\[
\text{Shipping Cost} = 5 + (10 \times 1.50) = 5 + 15.00 = 20.00
\]
(This is the value we need to fill in.)

6. **For 17 pounds:**
\[
\text{Shipping Cost} = 5 + (17 \times 1.50) = 5 + 25.50 = 30.50
\]
(This value is already provided.)

### Summary of the Table with Missing Values Filled In:

| Weight of Package (in pounds) | Shipping Cost (in dollars) |
|-------------------------------|-----------------------------|
| 2 | 8.00 |
| 5 | 12.50 |
| 7 | 15.50 |
| 9 | 18.50 |
| 10 | 20.00 |
| 17 | 30.50 |

### Comparison between Derek and Keisha

- Derek's shipping cost for **7 pounds**: **$15.50**
- Keisha's shipping cost for **10 pounds**: **$20.00**

Since **$20.00 (Keisha)** is greater than **$15.50 (Derek)**, it is confirmed that **Keisha spent more than Derek**.