SUMMARY
The cost of six roses, represented by the equation C(r) = 2 + 5r, is not double the cost of three roses due to the fixed cost component of 2. When evaluating the expression C(2r) = 2C(r), substituting yields 2 + 5(2r) = 2(2 + 5r). Upon distribution, the left side simplifies to 2 + 10r, while the right side simplifies to 4 + 10r, confirming that the two sides are not equal. Thus, the cost does not scale linearly due to the fixed cost.
PREREQUISITES
- Understanding of algebraic expressions and equations
- Familiarity with linear functions and their properties
- Knowledge of cost functions in economics
- Basic skills in distribution and simplification of equations
NEXT STEPS
- Explore linear cost functions in economics
- Learn about fixed versus variable costs in pricing strategies
- Study algebraic manipulation techniques for solving equations
- Investigate real-world applications of cost functions in business
USEFUL FOR
Students of economics, mathematics enthusiasts, and anyone interested in understanding pricing models and cost analysis.