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Mathematics, 13.05.2021 17:00 lace64

1. Ella is developing plans for a Marfa Art League. The building is on a slight hill. The plans include a driveway that will climb the hill on a straight path. The property survey shows the elevation (the distance the land rises) at the entrance to the driveway at (0, 0). The survey shows the elevation at the end of the driveway at (50, 4). A. Graph the points on the graph. What is the slope of the driveway?

B. The county inspectors recommend that driveways for small business like Ella’s have a slope between 8 and 14% so that rainwater runs off. Does the slope of Ella’s driveway meet the recommendation? Explain.

2. A film crew uses drones to record the Marfa lights from the air. The crew sets up two shots. The director has one drone operator stay with him and sends one drone operator 3 miles closer to the Marfa lights. The drones take off at the same time and fly toward the lights. The drone that started closer to the lights travels at 5miles per hour, and the drone that started farther from the lights travels at 8miles per hour

A. Write an equation for each drone where y represents the distance in miles from the director and x represents the time in hours the drone travels. Graph the equations.

B. How long will it take for the second drone to catch up to the first drone? How far from the director will the drones be when this occurs?

3. Verona is an artist in Marfa, Texas, who paints the Marfa lights over a field. She prints postcards of her paintings to sell to tourists. The cost to print postcards is a flat $60 fee plus $0.25 per postcard. She sells the postcards for $1.25 each. Write an equation that represents Verona’s costs and an equation that represents her earnings on sales. How many postcards must she sell before she starts making a profit?

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