Set up and solve each of the following problems. Be sure to indentify the variables first. 28. An ice cream store has two new flavors: Fantasy and Eestasy. Each barrel of Fantasy requires 4
pounds of nuts, 3 pounds of chocolate, and brings in a profit of $50. Each barrel of Ecstasy
requires 4 pounds of nuts, 1 pound of chocolate, and brings in a profit of $40. If there are 16
pounds of nuts and 10 pounds of chocolate in stock, how many barrels of each can be made in
order to maximize the profit?
29. How many ounces of a 20% saline solution and how ounces of a 70% saline solution are needed
to obtain 25 ounces that is a 50% saline solution?
30. The number of red candies in a bag varies inversely with the number of yellow candies and
directly with the number green candies. When there are 50 red candies in the bag, there are 20
green candies and 10 yellow candies. How many yellow candies are in the bag when there are 10
red candies and 100 green candies?

Time (minutes) amount of water (gallons) practice 1. jin fills up a 510-gallon pool in the backyard for her children. she fills it with the garden hose at a rate of 17 gallons per minute. after it is filled, she lets it sit for 30 minutes in order to let the water temperature rise. the children then get in and have fun for an hour. the pool loses about 5 gallon of water each minute due to their splashing and playing. at the end of the hour, they tear the pool while getting out, which causes a leak the pool then begins to lose water at a rate of 2 gallons per minute. a. complete the table to show the amount of water in the pool after each minute. b. create a graph to model the problem situation. include when the pool will be empty. c. write a piecewise function that models this problem situation. explain your reasoning for each piece of the function. d. identify the x- and y-intercept. explain what they mean in terms of the problem situation, atamantha a cul 80 100 120 150 200 ning, inc