Apolline is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus a constant fee for each hour of work. Her fee for a 555-hour job, for instance, is \$42$42dollar sign, 42. Her fee for a 333-hour job is \$28$28dollar sign, 28. Let yyy represent Apolline's fee (in dollars) for a single job that took xxx hours for her to complete.
Which of the following information about the graph of the relationship is given?
Choose 1
Choose 1

(Choice A)
A
Slope and xxx-intercept

(Choice B)
B
Slope and yyy-intercept

(Choice C)
C
Slope and a point that is not an intercept

(Choice D)
D
xxx-intercept and yyy-intercept

(Choice E)
E
yyy-intercept and a point that is not an intercept

(Choice F)
F
Two points that are not intercepts

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)