You want to spend no more than $700 for hotels while vacationing in hawaii for at least 6 days. a travel agent has given you the names and prices of two hotels in hawaii. the highville resort (four stars) cost $130 per night, and the coral hotel (two stars) cost $85 per night. you want to stay at the highville resort at least one night and at the coral hotel for the remainder of your stay. part a: represent the following conditions of our vacation as a system of inequalities. let h represent the number of nights you stay at the highville resort and c represent the number of nights you stay at the coral hotel. you want to stay at least 6 nights. you want to stay at least 1 night at the highville resort. you want to spend no more than $700. part b: graph the system of inequalities qualities from part a with c on the x-axis and h on the y-axis. part c: if you want to stay in hawaii at least 6 nights, how many nights could you spend at each hotel and still stay within your budget? explain how to use the solution set graphed above to name at least three options for your stay in hawaii. ! you!