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 find the missing values in the table, we can use the shipping cost formula given:

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

In this case, the base fee is $5, and the cost per pound is $1.50.

### Let's fill in the missing values:

1. **For 7 pounds:**
\[
\text{Shipping Cost} = 5 + (1.50 \times 7) = 5 + 10.50 = 15.50
\]

2. **For 10 pounds:**
\[
\text{Shipping Cost} = 5 + (1.50 \times 10) = 5 + 15.00 = 20.00
\]

Now, let's fill in the table:

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

### Now, let's compare the costs for Derek and Keisha:

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

To find out how much more Keisha spent than Derek:

\[
\text{Difference} = \text{Keisha's cost} - \text{Derek's cost}
\]
\[
\text{Difference} = 20.00 - 15.50 = 4.50
\]

### Therefore, Keisha spent **$4.50** more than Derek.