Question
The following tables show the amount of sodium for a given number of crackers for two types of crackers. Which type of cracker has less sodium per cracker?
Cracker 1
This table shows the relationship between the milligrams of sodium and the number of crackers in Cracker 1.
Milligrams of Sodium Number of Crackers
520 20
1,040 40
1,560 60
2,080 80
2,600 100
3,120 120
Cracker 2
This table shows the relationship between the milligrams of sodium and the number of crackers in Cracker 2.
Milligrams of Sodium Number of Crackers
200 16
400 32
600 48
800 64
1,000 80
1,200 96
Cracker 1
This table shows the relationship between the milligrams of sodium and the number of crackers in Cracker 1.
Milligrams of Sodium Number of Crackers
520 20
1,040 40
1,560 60
2,080 80
2,600 100
3,120 120
Cracker 2
This table shows the relationship between the milligrams of sodium and the number of crackers in Cracker 2.
Milligrams of Sodium Number of Crackers
200 16
400 32
600 48
800 64
1,000 80
1,200 96
Answers
GPT-4o mini
To determine which type of cracker has less sodium per cracker, we need to calculate the sodium content per cracker for both types.
**Calculating sodium per cracker for Cracker 1:**
- For 20 crackers: \( \frac{520 \text{ mg}}{20} = 26 \text{ mg/cracker} \)
- For 40 crackers: \( \frac{1,040 \text{ mg}}{40} = 26 \text{ mg/cracker} \)
- For 60 crackers: \( \frac{1,560 \text{ mg}}{60} = 26 \text{ mg/cracker} \)
- For 80 crackers: \( \frac{2,080 \text{ mg}}{80} = 26 \text{ mg/cracker} \)
- For 100 crackers: \( \frac{2,600 \text{ mg}}{100} = 26 \text{ mg/cracker} \)
- For 120 crackers: \( \frac{3,120 \text{ mg}}{120} = 26 \text{ mg/cracker} \)
For Cracker 1, the sodium content per cracker is consistently **26 mg/cracker**.
**Calculating sodium per cracker for Cracker 2:**
- For 16 crackers: \( \frac{200 \text{ mg}}{16} = 12.5 \text{ mg/cracker} \)
- For 32 crackers: \( \frac{400 \text{ mg}}{32} = 12.5 \text{ mg/cracker} \)
- For 48 crackers: \( \frac{600 \text{ mg}}{48} = 12.5 \text{ mg/cracker} \)
- For 64 crackers: \( \frac{800 \text{ mg}}{64} = 12.5 \text{ mg/cracker} \)
- For 80 crackers: \( \frac{1,000 \text{ mg}}{80} = 12.5 \text{ mg/cracker} \)
- For 96 crackers: \( \frac{1,200 \text{ mg}}{96} = 12.5 \text{ mg/cracker} \)
For Cracker 2, the sodium content per cracker is consistently **12.5 mg/cracker**.
**Comparison:**
- Cracker 1: 26 mg/cracker
- Cracker 2: 12.5 mg/cracker
**Conclusion:** Cracker 2 has less sodium per cracker, with **12.5 mg per cracker** compared to Cracker 1, which has **26 mg per cracker**.
**Calculating sodium per cracker for Cracker 1:**
- For 20 crackers: \( \frac{520 \text{ mg}}{20} = 26 \text{ mg/cracker} \)
- For 40 crackers: \( \frac{1,040 \text{ mg}}{40} = 26 \text{ mg/cracker} \)
- For 60 crackers: \( \frac{1,560 \text{ mg}}{60} = 26 \text{ mg/cracker} \)
- For 80 crackers: \( \frac{2,080 \text{ mg}}{80} = 26 \text{ mg/cracker} \)
- For 100 crackers: \( \frac{2,600 \text{ mg}}{100} = 26 \text{ mg/cracker} \)
- For 120 crackers: \( \frac{3,120 \text{ mg}}{120} = 26 \text{ mg/cracker} \)
For Cracker 1, the sodium content per cracker is consistently **26 mg/cracker**.
**Calculating sodium per cracker for Cracker 2:**
- For 16 crackers: \( \frac{200 \text{ mg}}{16} = 12.5 \text{ mg/cracker} \)
- For 32 crackers: \( \frac{400 \text{ mg}}{32} = 12.5 \text{ mg/cracker} \)
- For 48 crackers: \( \frac{600 \text{ mg}}{48} = 12.5 \text{ mg/cracker} \)
- For 64 crackers: \( \frac{800 \text{ mg}}{64} = 12.5 \text{ mg/cracker} \)
- For 80 crackers: \( \frac{1,000 \text{ mg}}{80} = 12.5 \text{ mg/cracker} \)
- For 96 crackers: \( \frac{1,200 \text{ mg}}{96} = 12.5 \text{ mg/cracker} \)
For Cracker 2, the sodium content per cracker is consistently **12.5 mg/cracker**.
**Comparison:**
- Cracker 1: 26 mg/cracker
- Cracker 2: 12.5 mg/cracker
**Conclusion:** Cracker 2 has less sodium per cracker, with **12.5 mg per cracker** compared to Cracker 1, which has **26 mg per cracker**.