4. The following graph shows the average retail price of regular gasoline in Tuc

Question

4. The following graph shows the average retail price of regular gasoline in Tucson and Albuquerque over the 3 month period. Suppose T(d) represents the price of gas in Tucson as a function of the day, and A(d) represents the price of gas in Albuquerque as a function of the day. For which dates is the function (T - A) (d)positive? Negative? Zero? What do each of these answers tell us about the price of gas in Tucson and Albuquerque? (Data source: gasbuddy.com) 3 Month Average Retail Price Chart Regular Gas Price (US SIG) 2.31 Regular Gas -Albuquerque Tucson Price (US SIG) 2.31 2.28 2.26 2.24 2.21 2.19 2.17 2.14 2.12 2.09 2.07 2.28 2.26 2.24 2.21 2.19 2.17 2.14 2.12 2.09 2.07 2017 Date (Month/Day) 2017 GasBuddy.com

Explanation / Answer

T-A is positive when the blue line is above the red line. It happened on all dates between 2/14 to 3/12, and also on 2/2 , 3/2 and abetween 2/7 to 2/11.

T-A was zero when the red and blue line intersects each other, 2/3, 2/7, 2/11, 2/14, 3/12

For all the dates except the above mentioned T-A negative

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