Multiple Choice
When plotting the relationship between quantity demanded and price, the graph’s shape is best described as:
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1. Reading and Understanding Graphs
Graphs of Two Variables
Multiple Choice
Which of the following graphs best represents a proportional relationship between two variables?
A
A straight line with a positive y-intercept
B
A straight line passing through the origin
C
A horizontal line
D
A curve that increases at a decreasing rate
Verified step by step guidance1
Understand what a proportional relationship means: it implies that one variable is directly proportional to another, which can be expressed as \(y = kx\), where \(k\) is a constant of proportionality.
Recall that in a proportional relationship, when \(x = 0\), \(y\) must also be \$0\(, so the graph must pass through the origin \)(0,0)$.
Analyze the options: a straight line with a positive y-intercept does not pass through the origin, so it cannot represent a proportional relationship.
A horizontal line means \(y\) is constant regardless of \(x\), which is not proportional because \(y\) does not change with \(x\).
A curve that increases at a decreasing rate is nonlinear and does not represent a constant ratio between \(y\) and \(x\), so it is not proportional.
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