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An abstract conceptual image representing the concept of a linear relationship in mathematical data. The image consists of a craftsman's working tools to symbolize the carpenter and a visually captivating line graph, indicating the hours worked versus the amount charged. The graph represents as follow: One point at one hour worth $25, the next at two hours worth $40, following three hours at $60, and the last point at four hours for $80. The difference in amounts between intervals is represented via segmented lines, visualizing the concept of data trends. Provide a visual cue, such as a light illuminating the straight line to imply the linearity of the plotted data. Remember, the image should not contain any text.

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($)
1 25
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.

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.

Wow

okay i felt the need to type somethin since nobody has answered this and its been 4 years wooooooooooo xP

but yeah the person from 2016 who posted the question was right so yeah

What about 1 hour worked for $25 that raises only by $15 when at 2 hours that’s no the same as the $20 increase

H u h

Pretty sure 2020 is wrong because I graph the points and it’s a straight line

ty hello, ur right, woooooooooooooooo

what is the answer

there right the line would go higher as 80 is above 50 making it not even

Not linear. First hour worked is $25, second hour worked $15, and all hours worked after the first two hours are $20 per hour. This is not constant and wouldn't graph a straight linear line.