Acertain theater has 100 balcony seats. for every $2 increase in the price of a balcony seat above $10, 5 fewer seats will be sold. if all the balcony seats are sold when the price of each seat is $10, which of the following could be the price of a balcony seat if the revenue from the sale of balcony seats is $1,360 ? a. $12b. $14c. $16 d. $17e. $18

The correct option is C) $16.

Step-by-step explanation:

Consider the provided information.

Let R1 = $1000 revenue if price per seat is $10 and number of seats are 100.

Let R2 = $1360 revenue if price increase every time by $2 and 5 lesser number of seats sold that every time.  

Hence, for R2,

x is the number of seat increase by $2.

n is the number of times 5 lesser seats are sold when each time the price is increased by $2.

The revenue increased by = $1360-$1000 = $360

Now,  x = n since every time the price is increased, lesser number of seats are sold and this is attributed to the increased revenue.

The number of times the price is increased by $2 is 2x.

The number of times 5 lesser seats are sold is 5n.

2x × 5n = 360

10xn = 360

xn = 36

As mentioned above, x = n

Hence x² = 36

Therefore, x =  6

Neglect the negative value of  x, as the price is increased,

Thus, $6 should be increased in $10.

The new price during is = 10+6 = $16.

Hence, the correct option is C) $16.

answer: input the dimensions of the room to be painted. click the button to calculate the amount of paint and man-hours needed for this job.

interior paint coverage depends on the brand of paint used. the coverage amount is listed on the label of the paint can. use this to adjust the values in the paint coverage section below. paint usually is applied at 350 to 400 square feet per gallon (primer at 200 to 300 square feet per gallon).

step-by-step explanation:

answer: i dont know i want points

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