Students use systems of equations or inequalities to solve contextual problems and interpret solutions within a particular context.
1. Andy’s Cab Service charges a $6 fee plus $0.50 per mile. His twin brother Randy starts a rival business where he charges $0.80 per mile, but does not charge a fee.
a. Write a cost equation for each cab service in terms of the number of miles.
b. Graph both cost equations.
c. For what trip distances should a customer use Andy’s Cab Service? For what trip distances should a customer use Randy’s Cab Service? Justify your answer algebraically and show the location of the solution on the graph.
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.