Question

Jim works as a chef at The House of Dumplings. He works hard to fold each dumpling perfectly! There is a proportional relationship between the number of dumplings he can fold and the amount of time it takes. This equation describes the number of pork dumplings, y, that Jim can fold in x minutes: y=14x This table shows how long it takes Jim to fold chive dumplings: Chive dumplings Minutes Dumplings folded 3 48 4 64 5 80 Which type of dumpling can Jim fold faster? How much faster can Jim fold that type of dumpling?

Answer 1

Based on the given equation for the number of pork dumplings Jim can fold in x minutes, which is y = 14x, you can use the same equation to determine how long it takes Jim to fold a certain number of chive dumplings. Let's use the provided table to calculate:

1. For chive dumplings:
- When Jim takes 3 minutes: y = 14 * 3 = 42 dumplings.
- When Jim takes 4 minutes: y = 14 * 4 = 56 dumplings.
- When Jim takes 5 minutes: y = 14 * 5 = 70 dumplings.

From the table, it's clear that Jim can fold chive dumplings faster when it takes 3 minutes, and he folds 48 dumplings in that time.

To find out how much faster Jim can fold chive dumplings in 3 minutes compared to pork dumplings, let's calculate the number of pork dumplings he can fold in 3 minutes:

For pork dumplings:
- When Jim takes 3 minutes: y = 14 * 3 = 42 dumplings.

So, Jim can fold chive dumplings 48 - 42 = 6 dumplings faster in 3 minutes compared to pork dumplings.