Question

the manager of gerards restaurant is making a supply order for the coming week. based on his past experience, the manager h constructed a model which shows that pasta is chosen over salad and enchiladas 62% of the time. the table below shows the results of three days of business, with breakdowns for how many customers ordered pasta, salad, and enchiladas. classify the results for each category as either consistent or inconsistent with the model. total of all 3 days results day 1 results day 2 results day 3 results

Explanation:

Step1: Calculate total customers each day

• Day 1: $130 + 37+38=205$
• Day 2: $175 + 17+14 = 206$
• Day 3: $105+31 + 33=169$

Step2: Calculate proportion of pasta each day

• Day 1: $\frac{130}{205}\approx0.634 = 63.4\%$
• Day 2: $\frac{175}{206}\approx0.849=84.9\%$
• Day 3: $\frac{105}{169}\approx0.621 = 62.1\%$

Step3: Compare with model ($62\%$)

• Day 1: $63.4\%-62\% = 1.4\%$ (close, so consistent)
• Day 2: $84.9\%-62\%=22.9\%$ (not close, so inconsistent)
• Day 3: $62.1\%-62\% = 0.1\%$ (close, so consistent)

Answer:

Consistent with Model	Inconsistent with Model