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
15.50
9 18.50
10
20.00
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 $4.50, $6.00, $9.50, $12.00
more than Derek.

Answer 1

To calculate the shipping costs based on the given fee structure, we can apply the formula:

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

Given:
- Base Fee = $5.00
- Cost per Pound = $1.50

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

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

So, the shipping cost for 7 pounds is **$15.50**.

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

So, the shipping cost for 10 pounds is **$20.00** (this value is already given in the table).

The completed table now looks like this:

\[
\begin{array}{|c|c|}
\hline
\text{Weight of Package (in pounds)} & \text{Shipping Cost (in dollars)} \\
\hline
2 & 8.00 \\
5 & 12.50 \\
7 & 15.50 \\
9 & 18.50 \\
10 & 20.00 \\
17 & 30.50 \\
\hline
\end{array}
\]

Next, let's evaluate how much more Keisha spent compared to Derek.

- Derek's shipping cost for 7 pounds = $15.50.
- Keisha's shipping cost for 10 pounds = $20.00.

Now, let's find the difference in the shipping costs:
\[
\text{Difference} = \text{Keisha's Cost} - \text{Derek's Cost} = 20.00 - 15.50 = 4.50
\]

According to the problem statement, Keisha spent **$4.50** more than Derek, which matches the claim that she spent either $4.50, $6.00, $9.50, or $12.00 more.

The answer confirms that:
- Derek paid $15.50 to ship 7 pounds.
- Keisha paid $20.00 to ship 10 pounds and spent $4.50 more than Derek.