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 B
Cracker B

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 A
Cracker A

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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1 answer

To compare the fat content per cracker for Cracker A and Cracker B, we can calculate the grams of fat per cracker for each type by dividing the grams of fat by the number of crackers for each entry.

Cracker A:

  • For 10 crackers: \( \frac{8 \text{ grams}}{10 \text{ crackers}} = 0.8 \text{ grams per cracker} \)
  • For 20 crackers: \( \frac{16 \text{ grams}}{20 \text{ crackers}} = 0.8 \text{ grams per cracker} \)
  • For 30 crackers: \( \frac{24 \text{ grams}}{30 \text{ crackers}} = 0.8 \text{ grams per cracker} \)
  • For 40 crackers: \( \frac{32 \text{ grams}}{40 \text{ crackers}} = 0.8 \text{ grams per cracker} \)
  • For 50 crackers: \( \frac{40 \text{ grams}}{50 \text{ crackers}} = 0.8 \text{ grams per cracker} \)
  • For 60 crackers: \( \frac{48 \text{ grams}}{60 \text{ crackers}} = 0.8 \text{ grams per cracker} \)

Cracker B:

  • For 12 crackers: \( \frac{6 \text{ grams}}{12 \text{ crackers}} = 0.5 \text{ grams per cracker} \)
  • For 24 crackers: \( \frac{12 \text{ grams}}{24 \text{ crackers}} = 0.5 \text{ grams per cracker} \)
  • For 36 crackers: \( \frac{18 \text{ grams}}{36 \text{ crackers}} = 0.5 \text{ grams per cracker} \)
  • For 48 crackers: \( \frac{24 \text{ grams}}{48 \text{ crackers}} = 0.5 \text{ grams per cracker} \)
  • For 60 crackers: \( \frac{30 \text{ grams}}{60 \text{ crackers}} = 0.5 \text{ grams per cracker} \)
  • For 72 crackers: \( \frac{36 \text{ grams}}{72 \text{ crackers}} = 0.5 \text{ grams per cracker} \)

Comparison:

  • Cracker A has 0.8 grams of fat per cracker.
  • Cracker B has 0.5 grams of fat per cracker.

Conclusion: Cracker B has less fat per cracker than Cracker A.