due to the rising costs of running a business, the photographer anticipates fixed costs in the next year to…

due to the rising costs of running a business, the photographer anticipates fixed costs in the next year to be $2400 per month, whereas the costs for portrait packages will increase to $35 per portrait package. write a new system of equations to reflect the changes in the cost. quadratic equation: linear equation:

due to the rising costs of running a business, the photographer anticipates fixed costs in the next year to be $2400 per month, whereas the costs for portrait packages will increase to $35 per portrait package. write a new system of equations to reflect the changes in the cost. quadratic equation: linear equation:

Answer

Explanation:

Step1: Define variables

Let ( x ) = number of portrait packages, ( C ) = total monthly cost.

Step2: Linear cost equation

Total cost = Fixed cost + Variable cost. So ( C = 2400 + 35x ).

Step3: Quadratic equation context

Typically, revenue (quadratic) and cost (linear) form a system. Assume revenue ( R = ax^2 + bx + c ); with cost change, profit ( P = R - C ) is quadratic. Example (common quadratic revenue): Let ( R = -0.5x^2 + 100x ), then ( P = -0.5x^2 + 65x - 2400 ).

Answer:

Quadratic Equation: ( P = -0.5x^2 + 65x - 2400 ) Linear Equation: ( C = 35x + 2400 )