Question

The table shows how much a carpenter charges for work. Is the relationship shown by the data in the table linear? Explain your answer.
hours worked
1
2
3
4
amount charged
20
45
70
95

Answer 1

Yes. The charge increases by a constant amount of $25 for each additional hour (45−20 = 25, 70−45 = 25, 95−70 = 25), so the rate of change is constant. Thus the data lie on a line. The linear equation is amount = 25(hours) − 5.