Math& 254 Functions in Two Variables Activity Name: As always in this class, please use complete sentences when answering questions. 1. The temperature adjusted for wind-chill is a temperature that tells you how cold it feels, as a result of wind and temperature. The table below shows the temperature adjusted for windchill as a function of wind speed and temperature. Temperature adjusted for wind-chill (F0) Wind Speed Temp (mph) (F0) 35 30 25 5 33 27 21 10 22 16 10 15 16 9 2 20 12 4 -3 25 8 1 -7 20 16 3 -5 -10 -15 15 12 -3 -11 -17 -22 10 7 -9 -18 -24 -29 5 0 -15 -25 -31 -36 a. If the temperature is 00 F and the wind speed is 15 mph, how cold does it feel? b. If the temperature is 350 F, what wind speed makes it feel like 220 F? 0 -5 -22 -31 -39 -44 c. If the temperature is 250 F, what wind speed makes it feel like 200 F? (You will need to assume that the wind chill changes in a linear way between data points in order to answer this question; don’t estimate!) d. If the wind is blowing at 15 mph, what temperature feels like 00 F? e. Using the table, make two tables of the temperature adjusted for wind-chill as a function of wind speed for fixed temperatures of 200 F and 00 F. (This is NOT difficult!) Is wind-chill a linear function of wind speed? 2. You like pizza and you like cola. Which of the graphs in figures below represents your happiness as a function of how many pizzas and how much cola you have if: a. There is no such thing as too many pizzas and too much cola? b. There is such a thing as too many pizzas or too much cola? c. There is such a thing as too much cola but no such thing as too many pizzas? d. Describe a possible scenario for the remaining graph.