A graph shows an arrow going up. It starts at 5,1, and goes to 15,2, at the next point, then 25,3, 35,4, 45,5, and so on. Using this graph of a linear equation as an example, create a real-world situation that the graph could model. In 3 sentences, explain what the graph is modeling.

Answer 1

The graph models the relationship between the number of hours a worker spends on a project and the total output or productivity level achieved. Starting at 5 units of output after 1 hour, the worker increases their productivity by 10 additional units for each subsequent hour of work, reaching 15 units after 2 hours, 25 after 3 hours, and so forth. This linear relationship illustrates how consistent effort leads to proportional gains in productivity over time.