Part I: Help a Classmate. Between 12:07pm and 12:30pm water ows into a tank at the constant rate of % gal/min. The tank holds 5 gallons of water at 12:09pm. ((1.) Emplain why it is not possible to use the given infownation to determine the volume of water in the tank at 12:00pm. ( b ) Find an expression for the volume of water in the tank at 12:29pm. Do not simplify your expression. Do this as simply as possible, being sure to explain your reasoning completely. See the class videos for help. ((3) By using the same logic as in part (b), nd a function V : f(t) that expresses the volume of water ( in gallons) in the tank in terms of the number of minutes past noon. Do not simplify your expression in any way. Be sure to include the domain of the function. See the class videos for help. Explain your reasoning thoroughly to a friend who has no knowledge of linear functions. Do not rely on any kind of formula. Fae-us on the logic. Part II: Help a Classmate. Suppose that between prices of 34/ burger and $7/ burger the average number of burgers sold per day is linear function of the price. Suppose also that an average of 102 burgers/day are sold at a price of $4/ burger and that an average of 67 burgers/day are sold at a price of 537/ burger. ( a ) Find a function that expresses the price {measured in dollars/burger) in terms of the average number of burgers sold, measured in burgers/day. Do not simply your expression. Be sure to start by dening your variables and the function's name. Do not use a: and y as the variables. Choose variables with more meaningful names. Include a graph to help with your explanation. Include the domain of the function. See the class videos for help. ( b ) Use your funeion from part (a) to determine the price when an average of 82 burgers/day are sold. (c) Use your funcion from part (a) to determine the average number of burg- ers sold per day at a price of $5.25/burger. (d) What happens to the average number of burgers sold per day if the price decreases by $0.30/burger? Answer this question in complete generality as in the class videos