Question

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.

X axis is per hour

Y axis is the amount in dollars every 5 dollars

Answer 1

A freelance photographer charges a $20 booking fee plus $15 for every hour of work. The x-axis measures hours, and each unit on the y-axis represents $5, so the plotted line has equation y = 3x + 4 (in $5-units), which corresponds to Total charge = 5(3x + 4) = $15x + $20. The slope 3 means the cost increases by $15 each hour and the y-intercept 4 represents the $20 flat booking fee.