A community theater sells about 150 tickets to a play each week when it charges $20 per ticket. For each $2 decrease on price about 25 more tickets per week are sold. Write a quadratic function to
find how the theater can maximize weekly revenue. What should the theater charge to maximize
revenue? What is the maximum weekly revenue? (6 pts) (Show all work.)

What is the equation:
What should the theater charge?
What is the maximum revenue?

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step-by-step explanation:

step-by-step explanation:

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(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week