Decide whether prediction \(R(24)\) is meaningful for context \(R(p)=p(24-p)\) models revenue for \(0\le~p\le~24\).

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Not meaningful, because a quadratic can only be trusted for middle inputs, not endpoints.

Not meaningful, because the domain should really be 0<p<24, so endpoints are excluded.

Not meaningful, because a price of 24 gives zero demand, so the model no longer applies.

Meaningful, because p=24 is inside the stated domain 0<=p<=24, even though it gives zero tickets sold.

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Curriculum context

Course: Math II
Standard: F-IF.4
Category: Functions
Domain: Interpreting Functions
Objective: Interpret key graph/table features of quadratic models in context.
Problem type: Decide whether a quadratic model's prediction is meaningful for a given input