Karen owns a seafood restaurant. She orders trout from an online retailer. Each pound of trout costs $30, and the company charges a $2 fee for shipping the order. However, if Karen orders 10 or more pounds, the trout costs only $24 per pound, but the shipping fee is $6.Which piecewise function models the cost of x pounds of trout?

Joe paid $19.54 for a 3.56-pound bag of shrimp at one store. The following week, he paid $25.45 for a 4.48-pound bag at another store.Find the unit price for each bag. Then state which bag is the better buy based on the unit price.

The cost for 2.8 pounds of shrimp is $19.46.Find the unit price in dollars per pound.If necessary, round your answer to the nearest cent.

Lily has $20 to spend each week on fish and chicken. Fish costs $4 a serving and chicken costs $6 a serving. The table shows Lily's marginal utilities of fish and chicken. Lily will consume _______ servings of chicken and _______ of fish each week.Servings per week Marginal utilityChicken Fish1 70 452 60 403 50 354 40 305 30 25

Shipping company IPS has shipping rates that are a function of the weight of the parcel. For packages weighing less than or equal to 3 pounds, they charge $ 0.75 per pound. For packages weighing between 3 and 18 pounds, they charge $ 2.25 per pound. For packages weighing greater than or equal to 18 pounds, they charge $ 2.5 per pound. IPS refuses to ship any parcel weighing more than 52 pounds. There is also a flat fee of $ 2 for all deliveries and an additional fee of $ 5 for all deliveries weighing 18 pounds or more.Complete the following description of a piecewise function so that is describes the shipping costs C(x)𝐶(𝑥) in dollars as a function of the weight x𝑥 in pounds. Write the individual formulas in order of increasing  x𝑥 .  C(x)=⎧⎪⎪⎪⎪⎨⎪⎪⎪⎪⎩    𝐶(𝑥)={        0.75x+2 if x𝑥 is in the interval 2.25x+2 if x𝑥 is in the interval 2.5x+7 if x𝑥 is in the interval

Recreational fishing is permitted at a particular lake. However, there are restrictions on the size of any fish caught from the lake. Suppose that the weight of any given fish caught from the lake is uniformly distributed between 7 and 33 kilograms. Only fish that are among the heaviest 21% are permitted to be kept and all other fish must be returned to the lake.What should the cut-off weight be for fish caught from the lake (below which they must be returned to the lake)? Do not include any units in your answer.