1.9 and 1.10 Converting from General to Standard Forms of Circles Modeling with Functions Pg. 240 # even (You do NOT have to graph these) Pg. 251 # 6, 10, 12, and 16

Change each circle equation from general form to standard form. 1.x 2 + y 2 - 4x + 8y + 11 = 0 2. x 2 + y 2 + 6x - 10y - 1 = 0

You are choosing between two long-distance telephone plans. Plan A has a monthly fee of $15 with a charge of $0.08 per minute for all long-distance calls. Plan B has a monthly fee of $3 with a charge of $0.12 per minute for all long-distance calls. 3. Express the monthly cost for Plan A [A(x)] as a function of the number of minutes of long-distance calls in a month [x]. 4. Express the monthly cost for Plan B [B(x)] as a function of the number of minutes of long-distance calls in a month [x]. 5. For how many minutes of long distance calls will the cost for the two plans be the same?

On a certain route, an airline carries 8000 passengers per month, each paying $200. A market survey indicates that for each $1 increase in ticket price, the airline will lose 100 passengers. 6. Express the number of passengers per month [N] as a function of the ticket price [x]. 7. Express the monthly revenue for the route [R] as a function of the ticket price [x].

A machine produces open boxes using rectangular sheets of metal measuring 15 inches by 8 inches. The machine cuts equal-sized squares from each corner. Then it shapes the metal into an open box by turning up the sides. 8.Express the volume of the box [V] in cubic inches as a function of the length of the side of the square cut from each corner [x] in inches. 9.Find the domain of V.