Question

Question

The following tables show the amount of fat for a given number of crackers for two types of crackers. Which type of cracker has less fat per cracker?

Cracker A

Grams of Fat Number of Crackers
8 10
16 20
24 30
32 40
40 50
48 60


Cracker B

Grams of Fat Number of Crackers
6 12
12 24
18 36
24 48
30 60
36 72


(1 point)
Responses

Cracker A
Cracker A

The two types of crackers have the same amount of fat per cracker.
The two types of crackers have the same amount of fat per cracker.

Cracker B
Cracker B

More rows need to be added to the tables to be able to compare the crackers.
More rows need to be added to the tables to be able to compare the crackers.
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Answer 1

To determine which type of cracker has less fat per cracker, we need to calculate the fat per cracker for each type.

Cracker A:

• 8 grams of fat for 10 crackers → \( \frac{8}{10} = 0.8 \) grams of fat per cracker
• 16 grams of fat for 20 crackers → \( \frac{16}{20} = 0.8 \) grams of fat per cracker
• 24 grams of fat for 30 crackers → \( \frac{24}{30} = 0.8 \) grams of fat per cracker
• 32 grams of fat for 40 crackers → \( \frac{32}{40} = 0.8 \) grams of fat per cracker
• 40 grams of fat for 50 crackers → \( \frac{40}{50} = 0.8 \) grams of fat per cracker
• 48 grams of fat for 60 crackers → \( \frac{48}{60} = 0.8 \) grams of fat per cracker

So, Cracker A has a consistent fat content of 0.8 grams of fat per cracker.

Cracker B:

• 6 grams of fat for 12 crackers → \( \frac{6}{12} = 0.5 \) grams of fat per cracker
• 12 grams of fat for 24 crackers → \( \frac{12}{24} = 0.5 \) grams of fat per cracker
• 18 grams of fat for 36 crackers → \( \frac{18}{36} = 0.5 \) grams of fat per cracker
• 24 grams of fat for 48 crackers → \( \frac{24}{48} = 0.5 \) grams of fat per cracker
• 30 grams of fat for 60 crackers → \( \frac{30}{60} = 0.5 \) grams of fat per cracker
• 36 grams of fat for 72 crackers → \( \frac{36}{72} = 0.5 \) grams of fat per cracker

So, Cracker B has a consistent fat content of 0.5 grams of fat per cracker.

Conclusion:

Since Cracker B has less fat per cracker (0.5 grams) compared to Cracker A (0.8 grams), the answer is Cracker B.