8. Anne has a job that requires her to travel three out of every four weeks. She has an annual travel budget and can travel either by train or by plane.

The airline on which she typically flies has a frequent-traveler program that reduces the cost of her tickets according to the number of miles she has flown in a given year. When she reaches 25,000 miles, the airline will reduce the price of her tickets by 25 percent for the remainder of the year.

When she reaches 50,000 miles, the airline will reduce the price by 50 percent for the remainder of the year. Graph Anne’s budget line, with train miles on the vertical axis and plane miles on the horizontal axis.