Question

A travel agency offers a package for $4000 per person if they have 30 or less sign up. For each person in excess of 30, the agency reduces the price by $20 for every traveler.

-Generalize the numerical pattern to write formulas for the price as a function of number of travelers and revenue as a function of travelers.

Answer 1

The price as a function of the number of travelers is $4000 - ($20 * (number of travelers - 30)), and the revenue as a function of the number of travelers is Price * Number of travelers.

Step-by-step explanation:

In this question, we are given a package price of $4000 per person if there are 30 or fewer people. For each additional person, the price is reduced by $20 per traveler.

To find the price as a function of the number of travelers, we can use the formula:

Price = $4000 - ($20 * (number of travelers - 30))

For example, if there are 35 people, the price would be $4000 - ($20 * (35 - 30)) = $4000 - $100 = $3900.

To find the revenue as a function of the number of travelers, we can use the formula:

Revenue = Price * Number of travelers

For example, if there are 35 people and the price is $3900, the revenue would be $3900 * 35 = $136,500.