The table shows data from a travel agency, representing the number of guests on a trip x and the estimated dollar cost of the trip y x 2 3 4 5 6 7 8 9 10 y 2 comma 300 2 comma 750 3 comma 125 3 comma 625 4 comma 200 4 comma 450 5 comma 125 5 comma 750 6 comma 350 When using the median-fit method with summary points open paren 3 comma 2 comma 750 close paren , open paren 6 comma 4 comma 200 close paren , and open paren 9 comma 5 comma 750 close paren , what is the approximate slope of the best-fit model?
For the median-fit method, use the first and third summary points to find the model’s slope. The change in cost is $5,750 − $2,750 = $3,000, and the change in guests is 9 − 3 = 6. Thus, the slope is $3,000 ÷ 6 = $500 per guest, so the approximate slope is 500.
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