Question

question 3
team velocitys track starts at the origin. what other fact makes team velocitys track proportional?
it has a constant rate of change, which is
feet per foot.
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what makes team thunders line non - proportional?
it doesnt go through the origin
it has a positive slope
its a straight line
it has a slope of 5

Explanation:

Step1: Recall the definition of a proportional relationship

A proportional relationship is a relationship between two variables where the ratio is constant. The equation is \(y = kx\), and its graph is a straight - line passing through the origin \((0,0)\).

Step2: Analyze each option for Team Thunder's line

• Option "It has a slope of 5": A slope of 5 alone does not determine if a line is non - proportional. A line \(y = 5x\) is proportional.
• Option "It's a straight line": A straight line could be proportional (\(y=kx\)) or non - proportional (\(y = kx + b,b

eq0\)).

• Option "It has a positive slope": A positive slope (\(y=kx,k>0\)) is proportional if \(b = 0\).
• Option "It doesn't go through the origin": For a relationship \(y=kx + b\), if \(b

eq0\), the line does not pass through the origin. A non - proportional linear relationship has the form \(y=kx + b\) where \(b
eq0\).

Answer:

It doesn't go through the origin.