On a trip to the Pumpkin Patch in Austin, Texas with his grandchildren, Mr. P saw the following sign:


(1) Draw a graph showing the price per pound of a jack-o-lantern (pumpkin).
      x-axis should be pounds; y-axis should be price per pound.
      Calculus students should recognize this as a discontinuous function.
(2) What is the most expensive pumpkin (per pound)?
(3) What is the range in pounds of pumpkins which cost more than 35 cents per pound?



Solution to the Problem:


(1)


(2) The pumpkin that weighs just over 30 pounds is the most expensive pumpkin.

(3) The range of pumpkins costing more than 35 cents per pound is: 30 < x < 35.7



Here is a more accurate graph sent in by Colin Bowey:





Correctly solved by:

1. Colin (Yowie) Bowey Beechworth, Victoria, Australia
2. Ritwik Chaudhuri Santiniketan, West Bengal, India
3. Kelly Stubblefield Mobile, Alabama