Electric Bus Transportation Project
To promote sustainable transportation, a city introduced electric buses. The operating company charges a fixed maintenance cost of \(₹55344\) per month and an additional \(₹2032\) for every route operated daily. During a planning exercise, city officials analysed different route combinations to estimate monthly expenses. Students were asked to represent the operating expenditure using linear polynomials and determine the impact of increasing the number of routes. Such mathematical models help urban planners make efficient decisions regarding public transportation systems while maintaining environmental sustainability and cost-effectiveness.
Answer the following questions:
(a) Write the linear equation representing the monthly operating cost.
(b) Calculate the operating cost for \(26\) routes \(=\)
(c) Find the number of routes corresponding to a monthly expenditure of \(₹126151\).
{Round to nearest whole number}
(d) State the slope of the equation.