Chapter 2, Problem 52RE

Use the Vertical Line Test to determine whether the graph represents y as a function of x.

Suppose you have a job that pays $8.50 per hour and you work anywhere from 10 to 40 hours per week. a. Write an equation, with a restriction on the variable x, that gives the amount of money, y, you will earn for working x hours in one week. b. Use the function rule you have written in part (a) to complete Table 4. c. Construct a line graph from the information in Table 4. d. State the domain and range of this function.

The ad shown at left was in the local newspaper. Suppose you are hired for the job described in the ad. a. If x is the number of hours you work per week and y is your weekly gross pay, write the equation for y. (Be sure to include any restrictions on the variable x.) b. Use the function rule you have written in part (a) to complete Table 5. c. Construct a line graph from the information in Table 5. d. State the domain and range of this function. e. What is the minimum amount you can earn in a week with this job? What is the maximum amount?