Your supervisor allows you to "clock-in" for your 8a. m. shift give or take 15 minutes. let x = 8 representing 8a. m. and x = 14.5 representing 2: 30p. m. (why? ) you work 8 hours excluding a 30 minute break. there is also a 15 minute tolerance on when you can "clock-out". write two absolute value inequalities representing the times you can check in and the times you can check out. (hint: all values in these inequalities are in hours.) explain how you came up with the two inequalities. also, for the question above, consider the following: what time would you leave work based on the context? what is the ideal time and what would your supervisor tolerate?

Anew author is in the process of negotiating a contract for a new romance novel. the publisher is offering three options. in the first option, the author is paid $5,000 upon delivery of the final manuscript and $20,000 when the novel is published. in the second option, the author is paid 12.5% of the net price of the novel for each copy of the novel sold. in the third option, the author is paid 10% of the net price for the first 4,000 copies sold, and 14% of the net price for the copies sold over 4,000. the author has some idea about the number of copies that will be sold and would like to have an estimate of the royal- ties generated under each option. write a program that prompts the author to enter the net price of each copy of the novel and the estimated number of copies that will be sold. the program then outputs he royalties under each option and the best option the author could choose. (use appropriate named constants to store the special values such as royalty rates and fixed royalties.