Question

A pop singer sells her albums on CDs and by digital downloads. The equations below describe the relationship between x, the number of albums sold, and y, the profit in dollars, for each method of selling her albums. CDs: y=-0.05x^2+12x-8000 Downloads: y=-0.02x^2+8x-2000 Write an equation that can be solved for x, the number of albums at which the profit would be equal for the two methods of selling her album. Your equation should be in the form ax^2+bx+c=0

Answer 1

The equation that can be used to represent the number of albums at which the profit would be equal for the two methods of selling her album is -0.03x² + 4x + 6000 = 0

How to solve equations in the form of no quadratic

• x = the number of albums sold
• y = the profit in dollars,

Method 1, y = -0.05x² + 12x - 8000

Method 2, y = -0.02x² + 8x - 2000

• Equation both equations

-0.05x²2 + 12x - 8000 = -0.02x²2 + 8x - 2000

- 0.05x² + 0.02x² + 12x - 8x - 8000 + 2000 = 0

-0.03x² + 4x - 6000 = 0

where,

a = -0.03

b = 4

c = -600

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