A Small Theater Has a Seating Capacity of 2000 $R ( x ) = 125 x ^ { 2 } + 3000 x , 16 \leq x \leq 20$

question 40

Multiple Choice

A small theater has a seating capacity of 2000.When the ticket price is $20,attendance is 1500.For each $1 decrease in price,attendance increases by 125.Write the revenue R of the theater as a function of ticket price x. ?

• A) \(R ( x ) = 125 x ^ { 2 } + 3000 x , 16 \leq x \leq 20\)
• B) \(R ( x ) = - 125 x ^ { 2 } + 1000 x , 16 \leq x \leq 20\)
• C) \(R ( x ) = - 125 x ^ { 3 } + 500 x , 16 \leq x \leq 20\)
• D) \(R ( x ) = - 125 x ^ { 2 } - 350 x , 16 \leq x \leq 20\)
• E) \(R ( x ) = - 125 x ^ { 2 } + 4000 x , 16 \leq x \leq 20\)

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Definitions:

Confidence Limits

The upper and lower boundaries of a confidence interval, which estimate the range within which a population parameter lies with a certain level of confidence.

Population Mean

The average of all the values in a population, which is the total set of individuals, items, or data under study.

Sample Size

The number of observations or units included in a sample, which impacts the precision of statistical estimates.

Population Size

The total number of individuals or units in the group that a researcher or analyst is interested in studying.