Some students are building the stage set for an upcoming school play. As they finalize some of the backdrops, they need to determine the budget for the cost of materials.

- The paint costs $12.50 per gallon, and one gallon of paint covers 350 square feet.
- Reflecting tape costs $4.50 per roll, and one roll of tape covers 40 linear feet.

1. The wooden backdrop for the opening scene shows a city skyline. One side of the backdrop is to be painted black.

- Find the area of the skyline.
- Determine the budget for black paint if the backdrop is to be painted with two coats of paint.

To determine the budget for black paint for the wooden backdrop, we need to first find the area of the skyline that needs to be painted.
Let's assume that the wooden backdrop measures 10 feet in height and 20 feet in width. The area of the backdrop would be:
Area = height x width
Area = 10 x 20
Area = 200 square feet:
Area = height x width
Area = 10 x 10
Area = 100 square feet
Since two coats of paint are required, we need to double the area. Therefore, the total area that needs to be painted with black paint is:
Total area = 2 x area of one side
Total area = 2 x 100
Total area = 200 square feet
Number of gallons = Total area / Coverage per gallon
Number of gallons = 200 / 350
Number of gallons = 0.57 (rounded up)
Therefore, we need 0.57 gallons of black paint for the wooden backdrop.
Now, the cost of one gallon of paint is $12.50. Therefore, the budget for black paint can be calculated as:
Budget = Number of gallons x Cost per gallon
Budget = 0.57 x $12.50
Budget = $7.13 (rounded to the nearest cent)

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