The solid and dashed lines show how two consultants charge for their services. Use the graph for 9-11. 9. How much does each charge for a 6-hour job?

10. Does either consultant charge according to a linear function?

11. For which length do A and B charge the same amount?

12. Are the functions discrete or continuous? Explain.

From the graph, we have;

9. Consultant A charges $300 for a 6-hour job

Consultant B charges $400 for a 6-hour job

10. Yes, consultant B charges according to the linear function, y = $400

11. From the graph, the length of time for a job at which both A and B charge the same amount is the number of hours worked at the point where the graphs of the function of the charges of both consultants meet

12. The functions are discrete, because the amount charged for a given duration of hours worked is finite and or countable to arrive at an exact value

Step-by-step explanation:

Discrete variables are those that can be counted within a given time frame to find an exact value. Given that the amount charged by each consultant for each duration of hours worked is indicated on the graph of the function for the charge by each consultant, and given that the maximum charges and duration of hours worked are also specified and finite or countable, the functions are discrete.

a negative exponent is translated as follows:

so, we have