Chapter 6

Exercises

1. Using the top-down method, please describe an algorithm for a program to solve the real roots of a quadratic equation

      

   
   Your algorithm should ask the user for the coefficients. To calculate the roots of the equation, your algorithm should calculate the discriminant D given by:

      

   
   If D > 0, the algorithm displays a message: “The equation has two roots” and then displays the roots.
   If D = 0, the algorithm displays a message: “The equation has one root”, and then displays the root.
   If D < 0, the algorithm displays a message: “The equation has no real roots”. Create a flowchart for your algorithm.
2. Using the top-down method, please describe an algorithm for a program that calculates the cost of a car rental according to the following price schedule:

Type of Car	Rental Period
	1-6 Days	7-27 Days	28-60 Days
Class B	$27 per day	$162 for 7 days, +$25 for each additional day	$662 for 28 days, +$23 for each additional day
Class C	$34 per day	$204 for 7 days, +$31 for each additional day	$810 for 28 days, +$28 for each additional day
Class D	Class D cannot be rented for less than 7 days	$276 for 7 days, +$43 for each additional day	$1,136 for 28 days, +$38 for each additional day

The algorithm asks the user to enter the rental period and type of car. The algorithm should display the appropriate cost. If a period longer than 60 days is entered, a message “Rental is not available for more than 60 days” should be displayed. If a rental period of less than 6 days is entered for Class D, a message “Class D cars cannot be rented for less than 6 days” should be displayed. Create a flowchart for your algorithm.