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
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
Milligrams of Sodium Number of Crackers
200 16
400 32
600 48
800 64
1,000 80
1,200 96(1 point)
Cracker
has less sodium per cracker.
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To determine which type of cracker has less sodium per cracker, we need to compare the amounts of sodium for a given number of crackers in both tables.
For Cracker 1, the amount of sodium per cracker can be found by dividing the milligrams of sodium by the number of crackers:
Cracker 1 Sodium per cracker = Milligrams of Sodium / Number of Crackers
For example, for the first row in the table:
Cracker 1 Sodium per cracker = 520 / 20 = 26
Following the same steps for each row in the table, we can find the sodium per cracker for all the other rows in Cracker 1.
For Cracker 2, we can also calculate the sodium per cracker using the same method:
Cracker 2 Sodium per cracker = Milligrams of Sodium / Number of Crackers
Again, following the same steps for each row in the table, we can find the sodium per cracker for all the rows in Cracker 2.
After calculating the sodium per cracker for both types of crackers, we can compare the values to determine which type of cracker has less sodium per cracker.
To determine which type of cracker has less sodium per cracker, we can calculate the sodium per cracker for each type of cracker by dividing the milligrams of sodium by the number of crackers.
For Cracker 1, the calculation would be:
- 520 mg of sodium ÷ 20 crackers = 26 mg of sodium per cracker
- 1,040 mg of sodium ÷ 40 crackers = 26 mg of sodium per cracker
- 1,560 mg of sodium ÷ 60 crackers = 26 mg of sodium per cracker
- 2,080 mg of sodium ÷ 80 crackers = 26 mg of sodium per cracker
- 2,600 mg of sodium ÷ 100 crackers = 26 mg of sodium per cracker
- 3,120 mg of sodium ÷ 120 crackers = 26 mg of sodium per cracker
For Cracker 2, the calculation would be:
- 200 mg of sodium ÷ 16 crackers = 12.5 mg of sodium per cracker
- 400 mg of sodium ÷ 32 crackers = 12.5 mg of sodium per cracker
- 600 mg of sodium ÷ 48 crackers = 12.5 mg of sodium per cracker
- 800 mg of sodium ÷ 64 crackers = 12.5 mg of sodium per cracker
- 1,000 mg of sodium ÷ 80 crackers = 12.5 mg of sodium per cracker
- 1,200 mg of sodium ÷ 96 crackers = 12.5 mg of sodium per cracker
From the calculations, we can see that Cracker 2 has less sodium per cracker compared to Cracker 1. Therefore, Cracker 2 has less sodium per cracker.
To determine which type of cracker has less sodium per cracker, we need to compare the amount of sodium for the same number of crackers for both types of crackers. Let's compare the sodium content for 20 crackers of each type:
For Cracker 1:
- 20 crackers contain 520 milligrams of sodium
For Cracker 2:
- 16 crackers contain 200 milligrams of sodium
To find the sodium content per cracker, we divide the total sodium content by the number of crackers. Let's calculate:
For Cracker 1, sodium per cracker:
- 520 milligrams / 20 crackers = 26 milligrams of sodium per cracker
For Cracker 2, sodium per cracker:
- 200 milligrams / 16 crackers = 12.5 milligrams of sodium per cracker
Comparing the results, we can see that Cracker 2 has less sodium per cracker since it has 12.5 milligrams of sodium per cracker compared to Cracker 1's 26 milligrams of sodium per cracker. Therefore, "Cracker 2" has less sodium per cracker.