Evan is making a table that will be created in the shape of the figure below. The table top is a triangle attached to a rectangl
e. To purchase the right amount of paint, he needs to know the area of the table top. He can only spend $10 on paint, which is enough to cover 150 ft2 of surface area. What is the maximum length of the base of the rectangle he can build?
Area of a triangle: A (triangle )= 4 · 6 / 2 = 12 ft² 150 - 12 = 138 ft² ( the maximum area of the rectangle ) L = ? W = 6 ft A ( rectangle ) = L · W L · 6 = 138 L = 138 : 6 = 23 ft. Answer: the maximum length of the base of the rectangle he can build is 23 ft.
C) 6x=100+4x This is because since you need to justify buying a membership, you would try and equal the prices between not having a membership which is 6x and having a membership which is 100+4x