Question

Using this graph of a linear equation as an example, create a real-world situation that the graph could model. In 3-5 sentences, explain what the graph is modeling.

X axis is the hours

Y axis is the amount in dollars every 5 dollars

Answer 1

Example: The graph could model the total cost y (in dollars) to rent a carpet cleaner for x hours if the company charges a $20 booking fee plus $5 per hour, so y = 5x + 20. The y-axis ticks of $5 match the hourly rate: each extra hour increases the total by $5 (the slope). The y-intercept of $20 is the flat booking fee you pay even for 0 hours. Any point (x, y) on the line gives the total charge for x hours — for example, 3 hours costs $35.