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Determine if each relationship is a proportional or nonproportional situation r=b2 +1

A. proportional
B. non-proportional
C. neither , nonlinear

User Amiram
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1 Answer

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Final Answer:

A. Proportional because The relationship is proportional because the change in 'r' is consistently determined by the square of 'b,' indicating a constant ratio.

Step-by-step explanation:

The given relationship, r = b^2 + 1, is a proportional situation. In a proportional relationship, two variables are related by a constant ratio. In this case, the relationship between r and b is determined by the square of b plus 1. When b is multiplied by a constant, the resulting value of r will be directly proportional to b.

The presence of the square term indicates a nonlinear relationship, but it is still proportional because the change in b leads to a consistent and predictable change in r. Therefore, despite the nonlinearity introduced by the square term, the relationship is fundamentally proportional.

The constant ratio between r and the square of b establishes the proportional nature of this mathematical relationship.

User Arrowcatch
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