Use the tables to answer the question.

Berry Cobbler
Number of Batches Pints of Berries
5 20
12 48
15 60
20 80
Berry Pie
Number of Batches Pints of Berries
4 7.0
10 17.5
20 35.0
50 87.5
Based on the tables showing how many pints of berries are needed for two dessert recipes, which recipe requires the least number of berries per batch of dessert? How many pints less of berries would be used for a double batch of that recipe compared to a double batch of the other?

(1 point)
Responses

Berry cobbler uses more berries. For a double batch, you would use 4.5 more pints of berries than you would for a double batch of berry pie.
Berry cobbler uses more berries. For a double batch, you would use 4.5 more pints of berries than you would for a double batch of berry pie.

Berry pie uses less berries. For a double batch, you would need 4.5 fewer pints of berries than needed for a double batch of berry cobbler.
Berry pie uses less berries. For a double batch, you would need 4.5 fewer pints of berries than needed for a double batch of berry cobbler.

Berry pie uses less berries. You would use 2.25 pints fewer than you would for a berry cobbler.
Berry pie uses less berries. You would use 2.25 pints fewer than you would for a berry cobbler.

Berry pie uses less berries. You would use 5.5 pints fewer than you would for a berry cobbler.

1 answer

To determine which recipe requires the least number of berries per batch, we can calculate the pints of berries needed per batch for each recipe based on the tables provided.

For Berry Cobbler:

  • 5 batches use 20 pints → 20 pints / 5 batches = 4 pints per batch
  • 12 batches use 48 pints → 48 pints / 12 batches = 4 pints per batch
  • 15 batches use 60 pints → 60 pints / 15 batches = 4 pints per batch
  • 20 batches use 80 pints → 80 pints / 20 batches = 4 pints per batch

Average for Berry Cobbler: 4 pints per batch

For Berry Pie:

  • 4 batches use 7.0 pints → 7.0 pints / 4 batches = 1.75 pints per batch
  • 10 batches use 17.5 pints → 17.5 pints / 10 batches = 1.75 pints per batch
  • 20 batches use 35.0 pints → 35.0 pints / 20 batches = 1.75 pints per batch
  • 50 batches use 87.5 pints → 87.5 pints / 50 batches = 1.75 pints per batch

Average for Berry Pie: 1.75 pints per batch

Now, we'll compare the two recipes:

  • Berry Cobbler: 4 pints per batch
  • Berry Pie: 1.75 pints per batch

Therefore, Berry Pie uses less berries than Berry Cobbler.

Now, calculating how many pints less would be needed for a double batch of each recipe:

  • Double batch of Berry Cobbler: 2 batches × 4 pints = 8 pints
  • Double batch of Berry Pie: 2 batches × 1.75 pints = 3.5 pints

Finally, comparing the double batches:

8 pints (Berry Cobbler) - 3.5 pints (Berry Pie) = 4.5 pints less for Berry Pie.

The correct response is: Berry pie uses less berries. For a double batch, you would need 4.5 fewer pints of berries than needed for a double batch of berry cobbler.