Sang is planning a -mile bicycle trip. Complete the following and answer the questions.
• Write a rational equation to represent the relationship between , his average speed in miles per hour, and , the time in hours it will take to complete the trip. Make the independent variable and the dependent variable.
• Graph the equation.
• How long will the trip take if Sang’s average speed is miles per hour?
• What average speed will Sang need to achieve in order to complete the trip in hours?
• What is the effect on as increases? What is the effect on as decreases?

Write a rational equation to represent the relationship between , Sang’s average rate of speed in miles per hour, and , the time in hours that it will take to complete the trip.

Graph the equation.

Determine how long the trip will take at an average speed of miles per hour.

Determine the average speed needed to complete the trip in hours.

Determine the effect on as increases and the effect on as decreases, in the context of the problem situation.

This applet is provided by Walch Education as supplemental material for the CCSS Integrated Pathway: Mathematics II program. Visit www.walch.com for more information on our resources.