Which linear function has the greatest initial value? Which has the greatest rate of change? Use the drop-down menus to show your answer. Function A line Function B line Function C x 0 2 4 6 y 0 5 10 15 y = 3x – 1 A graph of a diagonal line on a coordinate plane going up and to the right. The line begins at the point zero comma 2 and passes through the point 3 comma 3. Function has the greatest initial value. Function has the greatest rate of change.

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.)