Flight Time and Ticket Price The following data represent nonstop flight time (in minutes) and one-way ticket price (in dollars) for flying from Chicago to various cities on Southwest Airlines.
City | Time (minutes), t | Price (dollars), P |
Atlanta, GA | 110 | 140 |
Los Angeles, CA | 260 | 199 |
Nashville, TN | 80 | 108 |
Oklahoma City, OK | 125 | 130 |
Omaha, NE | 85 | 89 |
Ft. Myers, FL | 170 | 175 |
Phoenix, AZ | 225 | 191 |
Houston, TX | 155 | 147 |
Seattle, WA | 265 | 196 |
St. Louis, MO | 65 | 93 |
(a) Use a graphing utility to draw a scatter diagram. .
(b) Use a graphing utility to find the line of best fit that models the relation between flight time and airfare. Express the model using function notation. .
(c) Interpret the slope. .
(d) Predict the airfare for a flight from Chicago to Kansas City, Missouri, if the flight time is 85 minutes. Round to the nearest dollar. .
(e) Predict the flight time from Chicago to Baltimore, Maryland if the airfare is $120. Round to the nearest minute.
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