• Create and interpret equations of linear functions
• Use linear functions to model and draw conclusions from real-world problems
• Plot the graphs of linear equations

Urban Expansion: Charting Growth with Linear Functions

Samir, a city development coordinator, is tasked with planning the expansion of urban services to accommodate the city’s growing population. He uses linear functions to model and predict various aspects of urban growth and infrastructure needs.

 

Samir examines the city’s population data over the past decade and notices a steady increase. He decides to model this growth with a linear function.

Understanding the rate of change in population helps Samir and city planners anticipate future needs. Using the population model, Samir predicts future demand for city services, such as waste management and water supply.

Accurate predictions ensure that the city allocates resources efficiently, avoiding both shortages and wasteful overspending. To present his findings to the city council, Samir decides to graph the population growth equation. A visual representation of data can often make complex information more accessible and actionable for decision-makers.