Question

The cost of a charter flight to Miami is $225 each for 75 passengers, with a refund of $5 per passenger for each passenger in excess of 75. How many passengers must take the flight to produce a revenue of $15,580? Suppose x represents the number of passengers in excess of a refund of $5 per passenger for each passenger in 75 is given,find the refund if there are x passenger in excess of 75.

Answer 1

To produce a revenue of $15,580, a minimum of 3071 passengers, in excess of the initial 75 passengers, is needed.

Step-by-step explanation:

To find the number of passengers needed to produce a revenue of $15,580, we need to solve an equation. Let x represent the number of passengers in excess of 75. Since there is a refund of $5 per passenger in excess of 75, the revenue from those passengers will be 5x. The total revenue can be calculated by adding the revenue from 75 passengers and the revenue from the passengers in excess of 75, and setting it equal to $15,580. So the equation is:

225 + 5x = 15580

To solve the equation, we need to isolate x. First, subtract 225 from both sides:

5x = 15355

Then, divide both sides by 5:

x = 3071

Therefore, a minimum of 3071 passengers, in excess of the initial 75 passengers, is needed to produce a revenue of $15,580.