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

120 servings
120 servings

75 servings
75 servings

180 servings
180 servings

30 servings

Answer 1

To determine which serving size has a different ratio of serving size to pounds of meat, we can calculate the ratio for each entry from the chart.

1. 30 servings: \[ \text{Ratio} = \frac{30}{2} = 15 \]

2. 75 servings: \[ \text{Ratio} = \frac{75}{6} = 12.5 \]

3. 120 servings: \[ \text{Ratio} = \frac{120}{8} = 15 \]

4. 180 servings: \[ \text{Ratio} = \frac{180}{12} = 15 \]

Now, let's compare the 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 others (15). Therefore, the serving size for which the ratio of size to pounds of meat is different from the other ratios is:

75 servings.