Solve the Problem $t$ Minutes After the Pool Has Started to Drain Is

question 40

Multiple Choice

Solve the problem.
-The number of gallons of water in a swimming pool $t$ minutes after the pool has started to drain is $Q ( t ) = 50 ( 20 - x ) ^ { 2 }$ . How fast is the water running out at the end of 11 minutes?

• A) \(450 \mathrm { gal } / \mathrm { min }\)
• B) \(4050 \mathrm { gal } / \mathrm { min }\)
• C) \(2025 \mathrm { gal } / \mathrm { min }\)
• D) \(900 \mathrm { gal } / \mathrm { min }\)

Interpret supply and demand equations to determine market outcomes.

Understand the concept of producer and consumer surplus, and calculate changes in these surpluses due to market interventions.

Analyze the impacts of minimum wage policies on the labor market.

Discuss the role of elasticity in determining the effects of quotas and price supports on market outcomes.

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Definitions:

Poisson Distribution

A statistical distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space when these events happen with a known constant rate and independently of the time since the last event.

Negative Exponential Distribution

A probability distribution used to model time between events in a Poisson process, often applied in reliability engineering and queuing theory.

Arrival Rates

The frequency at which entities arrive at a particular system or service point, commonly used in queueing theory and service process analysis.