Using this graph of a linear equation as an example, pick the option below that could represent that real-world situation. Explain what the graph is modeling.

Question

Using this graph of a linear equation as an example, pick the option below that could represent that real-world situation. Explain what the graph is modeling.

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This graph shows how happy Joseph is as an artist. As his amount of money he earns increases, his happiness also increases.

This graph shows Julie's hours she works every week. Some weeks she doesn't work and makes $0 and some weeks she can work 3 hours and makes $40. She has the perfect job!

This graph shows how Justin does as a dog walker. He charges a $5 appointment fee and the charges $10 an hour. If Justin walks a dog for 2 hours, he would earn $25,

Answer 1

This graph represents the situation of Justin as a dog walker. The x-axis represents the number of hours Justin walks the dog, and the y-axis represents the amount of money he earns. The graph shows a linear equation where the y-value increases as the x-value increases. The equation of the graph indicates that Justin charges a flat fee of $5 for an appointment and then an additional $10 per hour. Thus, if Justin walks a dog for 2 hours, he would earn $25 ($5 for the appointment fee plus 2 hours at $10 per hour).