Section 4.4 - Application A monthly teen magazine has 28,000 subscribers when it charges $10 per annual subscription. For each $1 increase in price, the.

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Presentation transcript:

Section Application A monthly teen magazine has 28,000 subscribers when it charges $10 per annual subscription. For each $1 increase in price, the magazine loses about 2000 subscribers. How much should the magazine charge to maximize annual revenue. What is the maximum annual revenue?

Section Application You have a rectangular garden in your backyard that measures 15 feet by 10 feet. You want to double the area of the garden by adding the same distance x to the length and the width of the garden. Find the value of x and the new dimensions of the garden.

Section Application A restaurant sells about 330 sandwiches each day at a price of $6 each. For each $.25 decrease in price, 15 more sandwiches are sold per day. How much should the restaurant charge to maximize daily revenue? What is the maximum daily revenue?

Section Application A museum has a café with a rectangular patio. The museum wants to add 464 square feet to the area of the patio by expanding the existing patio as shown. a.Find the area of the existing patio. b.Write an equation to find the value of x. c.Solve your equation. By what distance x should the length and the width of the patio be expanded?

Section Application Area of the rectangle = 84 Find the value of x.

Application If an object is propelled straight upward from Earth at an initial velocity of 80 feet per second, it’s height after t seconds is given by the function h(t) = -16t(t – 5), where t is the time in seconds after the object is propelled and h(t) is the object’s height in feet. a.How many seconds after it is propelled will the object hit the ground? b.What is the object’s maximum height?

Application You are designing a garden for the grounds of your high school. You want the garden to be made up of a rectangular flower bed surrounded by a border of uniform width to be covered by stones. You have decided that the flower bed will be 22 feet by 15 feet, and your budget will allow for enough stone to cover 120 square feet. What should be the width of the border in inches?