Question

A flight costs $12,500 to operate, regardless of the number of passengers. Each ticket costs $131. Express profit, P, as a linear function of the number of passengers, n, on the fight. Profit = Revenue - CostP=

Answer 1

SOLUTION

Write out the given information

$\begin{gathered} \text{Fight cost=\ 12,500} \\ \text{Cost per ticket=\ 131} \\ \text{Number of passengers =n} \end{gathered}$

The profit is given by

$profit=revenue-\cos t$

From the data given above, the revenue will be

$\begin{gathered} \text{ Revenue=cost per ticket x number of passengers } \\ \text{hence} \\ \text{ Revenue=\ 131}\times n=131n \end{gathered}$

Hence

$\text{Profit}=131n-12500$

Therefore

P=131n - 12 500