A store offers packing and mailing services to customers. The cost of shipping a box is a combination of a flat packing fee
of $5 and an amount based on the weight in pounds of the box, $2.25 per pound. Which equation represents the shipping
cost as a function of x, the weight in pounds?
f(x) = 2.25x +5
f(x) = 5x + 2.25
Of(x) = 2.25x - 5
Of(x) = 5x -2.25

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.)