3.7 Section Exer Use a variation model to solve for the unknown value. Round answers to the nearest whole number. The area of a picture projected on a wall varies directly as the square of the distance from the projector to the wall. Part: 0 / 2 Part 1 of 2 (a) If a 16-ft distance produces a 64 ft picture, what is the area of the picture when the projection unit is moved to a distance of 20 ft from the wall? The area of the picture is 1 2 .Use a variation model to solve for the unknown value. The amount of pollution entering the atmosphere varies directly as the number of people living in an area. If 100,000 people create 77,000 tons of pollutants, how many tons enter the atmosphere in a city with 700,000 people? In a city with 700,000 people, tons of pollutants enter the atmosphere.The monthly profit for a company that makes decorative picture frames depends on the price per frame. The company determines that the profit is approximated by f (p) = -80p + 3440p-36,000, where p is the price per frame and f (p) is the monthly profit based on that price. (a) Find the price that generates the maximum profit. (b) Find the maximum profit. (c) Find the price(s) that would enable the company to break even. If there is more than one price, use the "and" button. Part: 0 / 3 Part 1 of 3 (a) The price that generates the maximum profit is $The gas mileage m (x) (in mpg) for a certain vehicle can be approximated by m (x) = -0.031x + 2.649x-35.024, where x is the speed of the vehicle in mph. Part: 0 / 2 Part 1 of 2 (a) Determine the speed at which the car gets its maximum mileage. Round your answer to the nearest mph. The gas mileage is at a maximum when the car travels at mph.Write the polynomial f (x) that meets the given conditions. Answers may vary. Degree 3 polynomial with zeros of 1, 5i, and - 5i. f ( x )