# PracProg2functions

# Designing and Using Functions

1.

a. `2`

a. `7`

a. `4`

2. a. `max(3, 4)`

, then `abs(-5)`

, then `min(4, 5)`

.

b. `max(2, 8)`

, then `min(4, 6, 8)`

, then `abs(4)`

.

c. `max(5.572, 3.258)`

, then `abs(-2)`

, then `round(5.572, 2)`

.

3.

def triple(num): """ (number) -> number Return num tripled. >>> triple(3) 9 """ return num * 3

4.

def absolute_difference(number1, number2): """ (number, number) -> number Return the absolute value of the difference between number1 and number2. >>> absolute_difference(3, 7) 4 """ return abs(number1 - number2)5.

def km_to_miles(km): """ (number) -> float Return the distance km in miles. >>> km_to_miles(5) 3.125 """ return km / 1.6

6.

def average_grade(grade1, grade2, grade3): """ (number, number, number) -> number Return the average of the grade1, grade2, and grade3, where each grade ranges from 0 to 100, inclusive. >>> average_grade(80, 95, 90) 88.33333333333333 """ return (grade1 + grade2 + grade3) / 3

7.

def top_three_avg(grade1, grade2, grade3, grade4): """ (number, number, number, number) -> number Return the average of the top three of grades grade1, grade2, grade3, and grade4. >>> top_three_avg(50, 60, 70, 80) 70 """ # Here is one solution that does not use average_grade from Q6. total = sum(grade1, grade2, grade3, grade4) top_three = total - min(grade1, grade2, grade3, grade4) return top_three / 3 # Here is a different solution that does use the function from Q6. return max(average_grade(grade1, grade2, grade3), average_grade(grade1, grade2, grade4), average_grade(grade1, grade3, grade4), average_grade(grade2, grade3, grade4))

8.

def weeks_elapsed(day1, day2): """ (int, int) -> int day1 and day2 are days in the same year. Return the number of full weeks that have elapsed between the two days. >>> weeks_elapsed(3, 20) 2 >>> weeks_elapsed(20, 3) 2 >>> weeks_elapsed(8, 5) 0 >>> weeks_elapsed(40, 61) 3 """ return int(abs(day1 - day2) / 7)

10.

def square(num): """ (number) -> number Return the square of num. >>> square(3) 9 """ return num ** 2

...or:

def square(num): """ (number) -> number Return the square of num. >>> square(3) 9 """ return num * num

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