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John paints 2 portraits in 8 hours, 3 portraits in 12 hours, and 5 portraits in 20 hours. Which statement correctly describes this situation?

A.
The given situation does not represent a proportional relationship because the graph of the given data does not form a straight line through the origin.
B.
The given situation represents a proportional relationship because the graph of the given data does not form a straight line through the origin.
C.
The given situation represents a proportional relationship because the graph of the given data forms a straight line through the origin.
D.
The given situation does not represent a proportional relationship because the graph of the given data forms a straight line through the origin.

User Jagough
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2 Answers

1 vote
The correct answer is D



The number of portraits is directly proportional

to the number of hours worked.



portraits per hour:

2/8 = 1/4, 3/12 = 1/4, 5/20 = 1/4



He paints 1/4 portraits per hour



If p is number of portraits and h is hours worked

the equation is:



p = (1/4)h



This graphs as a straight line with the start at (0, 0)

User FlashOver
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7.8k points
5 votes
It is proportional, because the answer for all of them is 4, so my choice would be C. Hope this helps, would love to hear back from you.
User Gofilord
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7.9k points