A company that manufactures cookware has conducted numerous trials to see which metal needs the most energy (measured in Joules, J) to be raised to high temperatures, and records the averages in a table.

\begin{tabular}{|l|l|l|l|}
\hline
Metal & Aluminum & Copper & Iron \\
\hline
Energy (J) & 0.90 & 0.35 & 0.44 \\
\hline
Cost (\$/pound) & 1.00 & 5.00 & 0.10 \\
\hline
\end{tabular}

Which claim will this company most likely make?

A. Aluminum pans are the most energy-efficient cookware.
B. Copper pans are the most energy-efficient cookware, but they cost the most.
C. Iron pans require less energy to heat up than copper frying pans, but they cost less.
D. Copper pans require the most energy to heat up.



Answer :

Let's analyze the provided data step-by-step to evaluate which claim the company will most likely make about the different types of cookware metals: Aluminum, Copper, and Iron. The data is given in terms of energy required to raise the temperature and cost per pound.

### Step-by-Step Analysis:

1. Energy Required to Heat Each Metal:
- Aluminum: 0.90 J
- Copper: 0.35 J
- Iron: 0.44 J

2. Cost per Pound:
- Aluminum: [tex]$1.00 - Copper: $[/tex]5.00
- Iron: [tex]$0.10 ### Evaluating Each Claim: 1. Claim: Aluminum pans are the most energy-efficient cookware. - Analysis: Energy efficiency refers to requiring the least amount of energy. Aluminum requires 0.90 J, which is more than both Copper (0.35 J) and Iron (0.44 J). Therefore, Aluminum is not the most energy-efficient. - Conclusion: This claim is false. 2. Claim: Copper pans are the most energy-efficient cookware, but they cost the most. - Analysis: Copper requires 0.35 J, which is less than Aluminum (0.90 J) and Iron (0.44 J), making Copper the most energy-efficient. Additionally, Copper costs $[/tex]5.00 per pound, which is indeed the highest among the three metals.
- Conclusion: This claim is true.

3. Claim: Iron pans require less energy to heat up than copper frying pans, but they cost less.
- Analysis: Iron requires 0.44 J, which is more than Copper (0.35 J). While Iron does cost less ($0.10), it does not require less energy compared to Copper.
- Conclusion: This claim is false.

4. Claim: Copper pans require the most energy to heat up.
- Analysis: Copper requires 0.35 J, which is the least amount of energy among the three metals (Aluminum requires 0.90 J and Iron 0.44 J). Thus, Copper does not require the most energy.
- Conclusion: This claim is false.

### Final Answer:
The company will most likely make the claim that:
- Copper pans are the most energy-efficient cookware, but they cost the most.