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

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}* n=131n \end{gathered}`

Hence

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

Therefore

P=131n - 12 500