Restaurant Bill Calculation Steps

Restaurant Bill Problem Overview

• Objective: Write a program to compute the tax and tip on a restaurant bill, and display the total bill amount.

Example Breakdown

• Example Meal Charge: $9.99

  • Tax Rate: 7%

  • Tip Rate: 15%

Calculating Tax and Tip

1. Calculation of Tax:

   • Formula: $ext{Tax} = ext{Meal Charge} imes ( ext{Tax Rate})$

   • Substitute values:

     • Meal Charge = $9.99

     • Tax Rate = 0.07

   • Calculation Steps:

     • $ext{Tax} = 9.99 imes 0.07 = 0.6993 ext{ (approximately 70¢)}$

2. Calculation of Tip:

   • Formula: $ext{Tip} = ext{Meal Charge} imes ( ext{Tip Rate})$

   • Substitute values:

     • Meal Charge = $9.99

     • Tip Rate = 0.15

   • Calculation Steps:

     • ext{Tip} = 9.99 imes 0.15 = 1.4985 ext{ (approximately $1.50)}

3. Total Bill Calculation:

   • Formula:
     $ext{Total Bill} = ext{Meal Charge} + ext{Tax} + ext{Tip}$

   • Substitute values:

     • Meal Charge = $9.99

     • Tax = $0.70

     • Tip = $1.50

   • Calculation Steps:

     • $ext{Total Bill} = 9.99 + 0.70 + 1.50 = 12.19$

Generalizing the Calculation

1. Define Variables:

   • Charge: Set as variable

     • $ext{Charge} = 9.99$

   • Tax Calculation:

     • Formula:
       $ext{Tax} = ext{Charge} imes 0.07$

   • Tip Calculation:

     • Formula:
       $ext{Tip} = ext{Charge} imes 0.15$

2. Substitution:

   • Replace hard-coded values with variables for more flexibility:

     • $ext{Tax} = ext{Charge} imes rac{7}{100}$

     • $ext{Tip} = ext{Charge} imes rac{15}{100}$

3. Final Total:

   • Formula:

     • $ext{Total Bill} = ext{Charge} + ext{Tax} + ext{Tip}$

Final Algorithm Steps

1. Establish a variable for Charge: $ext{Charge} = 9.99$

2. Calculate Tax: $ext{Tax} = ext{Charge} imes 0.07$

3. Calculate Tip: $ext{Tip} = ext{Charge} imes 0.15$

4. Calculate Total Bill: $ext{Total Bill} = ext{Charge} + ext{Tax} + ext{Tip}$

5. Testing: Plugging in the Charge value for testing produces an example output of $62.50 for a different input scenario.

Conclusion

• Ensure to verify each computation step when implementing in a programming environment to confirm accuracy and expected results.