A business consultant works 10 hours a day, 6 days a week. She divides her time between meetings with clients and meetings with co-workers. A client meeting requires 3 hours while a co-worker meeting requires 2 hours. Let x be the number of co-worker meetings the consultant holds during a given week. If y is the number of client meetings for which she has time remaining, then y is a function of x. Assume this relationship is linear and that meetings can be split up and continued on different days.
1. how do I go about graphing the relationship between y and x?
2. how do I find a formula for y as a function of x?
3. what does the slope and the x and y-intercepts represent in the context of the consultant's meeting schedule?
4. A change is made so that co-worker meetings take 90 minutes instead of 2 hours. what will the features of this graph that have changed from the one in q 1 and those that have remained the same?