A theater company is considering raising the price of its tickets. It currently charges $8.50 for each ticket and sells an average of 200 tickets for
each show. The company estimates that for each $0.25 increase in the price of the ticket, the average ticket sales will go down by 5 people,
Which equation could the company solve to find the number of price increases it could make, x, and still have a revenue of $1,700?
OA. -1.25.12 - 7.50 = 0
OB -- 1.25:2 – 7.50 – 1,700 = 0
Ос. -1.252 + 7.50 = 0
OD. -1.25_2 + 7.53 – 1,700 = 0

Equation which represents the company solve to find the number of price increases it could make, x, and still have a revenue of $1,700 is equals to [tex]-1.25x^{2} +7.5x=0[/tex].

What is equation?

" Equation is defined as the relation between the variables with the sign of equality."

According to the question,

'x' represents the price of the ticket

Given,

Total revenue = $1700

Current charges = $8.50

Number of average tickets sells =200

Estimate in increase in the price of each ticket = $0.25

Average sales goes down by 5 people

From the given information we get the equation,

[tex](200-5x)(8.5+0.25x)=\$1700[/tex]

⇒[tex]1700 -42.5x+50x-1.25x^{2} =1700[/tex]

⇒[tex]-1.25x^{2} +7.5x=0[/tex]

Hence, the equation for the given condition is equals to [tex]-1.25x^{2} +7.5x=0[/tex]

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