Question

A commuter railway has 800

passengers a day and charges each one 2
dollars. For each 5
cents the fare is increased, 6
fewer people will ride the train. Express the income I
from the train in terms of the ticket price p
(in dollars).

Answer 1

To express the income from the train in terms of the ticket price, use the formula I = p * (800 - (p - 2)/0.0075), where p is the ticket price in dollars.

Step-by-step explanation:

To express the income from the train in terms of the ticket price, we need to consider the number of passengers who will ride the train at different fare prices.

Let's assume that the initial fare price is $2 and the number of passengers is 800. For each 5 cents that the fare is increased, 6 fewer people will ride the train.

This means that for each increase of 5 cents, the fare price will be increased by 6/800 = 0.0075 dollars.

Therefore, the income I from the train can be expressed as: I = p * (800 - (p - 2)/0.0075), where p is the ticket price in dollars.