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Based on past concerts, a band predicts selling 600-10p concert tickets when each ticket is sold at p dollars. Complete the table to find out how many concert tickets the band expects to sell and what revenues it expects to receive at the given ticket prices.

Based On Past Concerts A Band Predicts Selling 60010p Concert Tickets When Each Ticket Is Sold At P Dollars Complete The Table To Find Out How Many Concert Tick class=

Sagot :

The formula for the number of tickets sold, 600 - 10·p, gives the

revenue at a given number of tickets as 600·p - 10·p².

How can the given table be completed?

The number of tickets sold = 600 - 10·p

The revenue = Ticket price × (600 - 10·p)

The completed table is presented as follows;

[tex]\begin{array}{c|c|c|}Ticket \ price \ (dollars)&Number \ of \ tickets&Revenue \ (dollars)\\10&600 - 10 \times 10 = 500&10 \times 500 = 5000\\15&600 - 10 \times 15 = 450&10\times 450 = 4500\\20&600 - 10 \times 20 = 400&10 \times 400 = 4000\\30&600 - 10 \times 30 = 300&10 \times 300 = 3000\\35&600 - 10 \times 35 = 250&10 \times 250 = 2500\\45&600 - 10 \times 45 = 150&10 \times 150 = 1500\\50&600 - 10 \times 50 = 100&10 \times 100 = 1000\\60&600 - 10 \times 60 =0&10 \times 0 = 0\\p\end{array}\right][/tex]

The general formula for the revenue, given a number of tickets sold of 600 - 10·p is therefore;

  • The revenue = p × (600 - 10·p) = 600·p - 10·p²

Therefore, when the ticket sold is p, we have;

  • Number of ticket sold = 600 - 10·p
  • Revenue = 600·p - 10·p²

Learn more about functions here:

https://brainly.com/question/18590720

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