Answer:
Step-by-step explanation:
Let x represent the rate at which the ticket is sold and let y represent the number of tickets sold at that rate.
When x = 4, y = 800
This means that the income from gate takings at this rate is 4 × 800 = $3200
For each 1 dollar increase in the gate fee,management expects 100 fewer customers to buy tickets. It means that the amount earned would be (x + 1)(y - 100)
For the amount to be $3500, it means that
(x + 1)(800 - 100) = 3500
700(x + 1) = 3500
x + 1 = 3500/700 = 5
Therefore, management should charge $5 per person for gate fee so that it collects 3500 dollars from gate takings.
