Part 0, 0 points: Look at the submission instructions below to set up your folder and source code file name.

Part 1, 1 points: Write multiply, as we did in class.

Part 2, 9 points: Write fahrenheitToCelsius(F, C), which expects a number value for F in degrees Fahrenheit and binds C to the same temperature in degrees Celsius. (If you've forgotten the conversion formulas, they're on Wikipedia.) For example:

?- fahrenheitToCelsius(122, C).
C=50.0

Part 3, 10 points: Write celsiusToFahrenheit(C, F), which expects a number value for C in degrees Celsius and binds F to the same temperature in degrees Fahrenheit. For example:

?- celsiusToFahrenheit(50, F).
F=122.0

Part 4, 10 points: Write fahrenheitCelsius(F, C), which succeeds when F and C are the same temperature in degrees Fahrenheit and degrees Celsius, respectively. If only one of the parameters is bound, it should succeed and bind the other parameter appropriately. For example:

?- fahrenheitCelsius(122, C).
C=50.0
?- fahrenheitCelsius(F, 50).
F=122.0

Part 5, 20 points: Write temperature(K, C, F, R), which succeeds when K, C, F, and R are the same temperature in degrees Kelvin, degrees Celsius, degrees Fahrenheit, and degrees Rankine, respectively. If any one of the parameters is bound, and all bound parameters are in agreement, it should succeed and bind the other parameters appropriately. For example:

?- temperature(K, 0, F, R).
F=32
K=273.15
R=491.67

Part 6, 20 points: Write quadraticRoots(A, B, C, Root1, Root2), which succeeds when Root1 and Root2 are the two solutions to the quadratic equation with A, B, and C. I am only expecting it to work when A, B, and C are all bound, and only when the two roots are real and Root1 ≤ Root2. For example:

?- quadraticRoots(1, -1, -2, R1, R2).
R1=-1
R2=2
?- quadraticRoots(5, 0, 5, R1, R2).
false

Part 7, 20 points: Recall the Racket procedure carpet-footage we wrote. Write carpetFootage(W, L, Feet), which succeeds when a W x L square foot room can be carpeted by Feet length of a 12-foot wide carpet roll. For example:

?- carpetFootage(13, 14, Feet).
Feet=26
carpetFootage(14, 13, Feet).
Feet=26

Part 8, 10 points: Recall the Racket procedure percentage-bounds we wrote. Write percentageBounds(Base, Percent, Low, High), which succeeds when Low and High are the bounds after Base is reduced and increased by Percent. For example:

?- percentageBounds(80, 10, Low, High).
Low=72
High=88

?- percentageBounds(Base, Percent, 72, 88).
Base=80
Percent=10

Submitting your Project: Put all your procedure definitions in one file named project5.pl in a folder named <TeamName>Project5 where <TeamName> has all team members' (last) names separated by 'and' in PascalCase. For example, if I had worked with Alyssa Borgin, my folder name would be: BorginAndBurkeProject5. The code file should be located directly in that folder. Zip the folder up (don't change the file name) and upload the zip file to the assignment in Canvas.