Bryan wants to ship three medium-sized boxes. Two companies offer different rates.

\begin{tabular}{|c|l|}
\hline
Company & Rate \\
\hline
A & [tex]$\$[/tex] 14.65[tex]$ per box \\
\hline
B & First box is free, $[/tex]\[tex]$ 16.20$[/tex] for any additional boxes \\
\hline
\end{tabular}

Bryan used the six steps to solve this problem. On one of the steps, he decided that he would use multiplication and addition to compare the companies and find the best rate. Which step did Bryan use to help him decide?

A. Step 3
B. Step 1
C. Step 4
D. Step 2



Answer :

Let's analyze the problem step by step and determine which step Bryan used for his comparison.

1. Understanding Rates:
- Company A charges [tex]$14.65 per box. - Company B offers the first box for free and charges $[/tex]16.20 for each additional box.

2. Defining the Plan:
- Calculate the total cost for Company A: Since Company A charges a flat rate per box, multiply the rate by the number of boxes.
- Calculate the total cost for Company B: Factor in the free first box and then add the cost for the additional boxes.

3. Calculating Costs Using Multiplication and Addition:
- Company A: Multiply [tex]$14.65 by 3 (for three boxes). \[ \text{Total Cost A} = 3 \times 14.65 = 43.95 \] - Company B: The first box is free, so calculate the cost of the remaining two boxes. \[ \text{Total Cost B} = 0 + 2 \times 16.20 = 32.40 \] 4. Comparing Results to Determine the Best Option: - Total cost for Company A is $[/tex]43.95.
- Total cost for Company B is $32.40.
- Company B offers a better rate.

5. Making a Decision Based on the Calculations:
- Since Company B is cheaper, Bryan should choose Company B for the shipping.

6. Finalizing and Rechecking:
- Review the calculations to ensure accuracy.

From the described steps, it's clear that Step 3 is where Bryan decided to use multiplication and addition to compare the prices. Therefore, the step Bryan used to help him decide is:

Step 3