Final answer:
Mr. Herrada's job pays a signing bonus of $500 and $40 per hour worked. His earnings can be graphed with a slope of 40 and a y-intercept of 500, representing his earnings over time as a straight line on the graph.
Step-by-step explanation:
To graph the scenario where Mr. Herrada is offered a job with a signing bonus and an hourly wage, we can use the equation of a line, which in this context represents the income earned over time. The signing bonus represents the y-intercept, while the hourly wage represents the slope of the line.
The equation for Mr. Herrada's earnings can be expressed as E(h) = 40h + 500, where E is the total earnings and h is the number of hours worked. In this equation, the slope is $40, indicating that for every additional hour worked, Mr. Herrada earns an additional $40. The y-intercept is $500, which is the signing bonus he receives before starting any work (at h = 0)
To graph this situation, plot the y-intercept (0, 500) on the graph, which is the point where the line will intersect the vertical axis. Then, use the slope to determine another point on the line. For example, if Mr. Herrada works for 1 hour (h = 1), his earnings would be $540 (40 * 1 + 500). Plot this point (1, 540) and draw the line through both points to represent the earnings over time.