The graph could model the total earnings of a freelance graphic designer who charges a flat rate of $10 per hour for their services. At the start of their work (0 hours), the designer has not earned any money (0,0). After working for 1 hour, they earn $10 (1,10), and after 2 hours, they accumulate $20 (2,20), reflecting the linear increase of their earnings as they continue to work. The points on the graph vividly illustrate the relationship between hours worked on a project and total earnings, showing that the total amount earned increases consistently with each additional hour worked. This model highlights the predictable increase in income based on the time dedicated to freelance work.
on the graph the y-axis is amount in dollars starting with 0 5 10 15 20 25 30 35 40, the x-axis is ours starting with 0 1 2 3 4 5 6 7, the line starts with 0,5 1,15 2,25 3,35. for every hour it increases by 10 dollars. 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.
3 answers
Thank you for your clarification! Here’s a revised real-world situation based on the correct interpretation of the graph:
The graph could represent the total balance of a subscription service that charges a $5 enrollment fee plus $10 for each hour of usage. At 0 hours, the user pays the initial fee of $5, which is why the total is $5 (0,5). After one hour of access, the total cost becomes $15 (1,15), reflecting the base fee plus $10 for one hour of service. As time goes on, the cost continues to escalate by $10 for every additional hour used, resulting in $25 after 2 hours (2,25) and $35 after 3 hours (3,35). This model illustrates how the cost of using the subscription service increases linearly with time, starting from an initial base amount.