2. [7 pt) Let's try a mixture problem. Suppose Hulk wants to bulk up. He finds two jars of powder. Mighty Mix says on the label that it is 45% protein. Feel Fabulous says on its label that it is 60% protein. Suppose the recipe calls for Hulk to pour eighty grams of Mighty Mix into a jar with as many grams of Feel Fabulous as he likes, add water, and stir, and downs the mixture. [For now use f for the grams of Feel Fabulous he uses. [i] Draw a nice artistic picture, using at least two colors, to explain this situation to Hulk, who is not much of a reader. Label your sketch with appropriate quantities. ii Make a chart similar to the one below, and fill in the blank cells. Be sure to show work! POWDER % protein % protein as a Grams of decimal POWDER Hulk Consumes m Feel fabulous - [iii] In a complete English sentence, explain how many grams of protein Hulk ingested from each source, how much total mixture be consumed, and how many grams of protein be swallowed [all in terms of the variable )9 [iv] Suppose Hulk wanted to know the percentage protein in the mixture be consumed. Explain this to him. Show your work carefully, since Hulk has a bad temper, and is not much of a mathematician. [l.e. find the information you would need in order to fill in XXXXXXXX and YYYYYYYY.) [v] Suppose Hulk's mixture is exactly 50% protein. Determine how much FF is in the mixture. [vi] And what percentage of the total protein in Hulk's 50% protein mixture came from the Mighty Mix? Again, show your calculation carefully, and the state your result in a complete English sentence. [vii) Suppose it happens that Hulk wishes to consume AT LEAST 120 grams of protein today. Set up and solve an inequality to determine how much FF he must consume today. [viii] Sketch a number line like this (- ---------------------------------------------- -)f, and use it to display the solution to [vii]. [ix) State the answer to [vii) in a complete English sentence