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
30 2
75 6
120 8
180 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?

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(1 point)
Responses

75 servings
75 servings

120 servings
120 servings

30 servings
30 servings

180 servings

Answer 1

To determine which serving size has a different ratio of size to pounds of meat, we can calculate the ratio for each serving size given:

1. For 30 servings: \(\frac{30}{2} = 15\) (servings per pound of meat)

2. For 75 servings: \(\frac{75}{6} = 12.5\)

3. For 120 servings: \(\frac{120}{8} = 15\)

4. For 180 servings: \(\frac{180}{12} = 15\)

Now we can compare these ratios:

• 30 servings: 15
• 75 servings: 12.5
• 120 servings: 15
• 180 servings: 15

The ratio for 75 servings (12.5) is different from the other ratios (15). Therefore, the error was made for the 75 servings.

So the answer is: 75 servings