## Chapter 6

### Exercises

- 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. - 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.