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 Amount Charged($) 42394 2 40 3 60 4 80 my answer is: 40-25 = 15 60-40= 20 80-60=20 15=/20 It is linear because the lines would be in a straight line.

Answer 1

This is not linear.This is not linear because the rate of change is not consistant. I say this because between hour 1 and hour 2 the rate of change is 15 but between hour 2 and 3 the rate of change is 10 and between hours 3 and 4 the rate of change is 30.

Explanation:

Hope this helps

Answer 2

The table is a little unclear at the beginning value; however, a linear equation has a constant rate of change. This means that the carpenter's cost per hour should remain the same. As much of the table is visible:
2 hours = $40
3 hours = $60
4 hours = $80
This means that the carpenter charges a constant $20 per hour and this is why it is a linear equation and will form a straight line (constant slope)