5. Consider the following procedure: Select a number. Multiply the number by 4. Add 8 to the product. Divide the sum by 2. Subtract 4 from the quotient. a. Repeat this procedure for three numbers of your choice. Write a conjecture that relates the result of the process to the original number selected. b. Represent the original number by and use deductive reasoning to prove the conjecture in part (a) Work Exercises 6-9 without a calculator. Different rounding results in different estimates, so there is not a single correct answer to these exercises. Use rounding to make the resulting calculations simple. 6. For a spring break vacation, a student needs to spend $47.00 for gas, $311.00 for food, and $405.00 for a hotel room. If the student takes $681.79 from savings, estimate how much more money is needed for the vacation. 7. The cost for opening a restaurant is $485,000. If 19 peo- ple decide to share equally in the business, estimate the amount each must contribute. 8. Find an estimate of 0.48992 X 120.