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

\begin{tabular}{|c|l|}
\hline Company & Rate \\
\hline \hline A & \[tex]$14.65 per box \\
\hline B & First box is free, \$[/tex]16.20 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 1
B. Step 2
C. Step 3
D. Step 4


Sagot :

We are given a problem where Bryan has to choose between two companies to ship three medium-sized boxes, with different rates offered by each company. Let's break down the analysis through the steps:

1. Company A's Rate Calculation:
- Company A charges [tex]$14.65 per box. - For three boxes: \( 3 \times 14.65 \). 2. Company B's Rate Calculation: - Company B charges $[/tex]16.20 for any additional boxes after the first one, which is free.
- For three boxes: [tex]\( 1 \times 0 + 2 \times 16.20 \)[/tex].

Here, Bryan would have used multiplication and addition to compare the rates from both companies.

Given the steps, Bryan would use multiplication and addition calculations to find which company's rates will result in a lower total cost. This step is crucial for deciding the best rate.

Based on the detailed understanding of which mathematical operation fits in which step:

- Step 1: Identify the problem.
- Step 2: Gather the necessary information.
- Step 3: Decide on the operations needed (multiplication and addition in this case).
- Step 4: Perform the calculations.

To solve for the best rate, Bryan would have:

1. For Company A:
[tex]\( 3 \times 14.65 = 43.95 \)[/tex] dollars.
2. For Company B:
[tex]\( 1 \times 0 + 2 \times 16.20 = 32.40 \)[/tex] dollars.

Based on these steps, using multiplication and addition to compare the costs, Bryan finds that company B offers the better rate.

So, Bryan used Step 3 to help him decide on the best rate by employing multiplication and addition.