To show the relationship between the serving size and the number of pounds of meat needed for a lasagna recipe, a catering company uses the chart below.

Question

Serving Size Pounds of Meat
20 2
40 6
80 8
120 12
The employee who created the chart made an error when computing the number of pounds of meat for one of the serving sizes. For which serving size is the ratio of size to pounds of meat different from the other ratios?



(1 point)
Responses

80 servings
80 servings

40 servings
40 servings

20 servings
20 servings

120 servings
120 servings

Answer 1

To find the serving size for which the ratio of serving size to pounds of meat is different from the others, we can calculate the ratio for each of the serving sizes listed.

1. For 20 servings:

   • Ratio = 20 servings / 2 pounds = 10

2. For 40 servings:

   • Ratio = 40 servings / 6 pounds = 6.67 (approximately)

3. For 80 servings:

   • Ratio = 80 servings / 8 pounds = 10

4. For 120 servings:

   • Ratio = 120 servings / 12 pounds = 10

Now we can summarize the ratios:

• 20 servings = 10
• 40 servings = 6.67
• 80 servings = 10
• 120 servings = 10

The only ratio that is different is for 40 servings, which has a ratio of approximately 6.67, while all other serving sizes have a ratio of 10.

Therefore, the serving size with the error is 40 servings.