A snowboard instructor charges an initial fee plus $40 per hour for private snowboarding lessons. Carmen paid $265 for six hours of instruction. Assume the relationship is linear. Find and interpret the rate of change and initial value.

A family drove to their grandmother's house. After that they averaged 200 miles per days for 8 days. They drove a total of 1,880 miles over the eight days. Assume the relationship between the two quantities is linear. Find and interpret the rate of change and the initial value.

Multiple Representations Monique and Tasha are traveling on the same highway to a family reunion at a park. Monique starts out 225 miles from the park and drive 70 miles per hour. Tasha starts out 200 miles from the park and drives 65 miles per hour.

a. Algebra Write an equation for Monique's trip where y is the total distance from the park after x hours.

b. Algebra Write an equation for Tasha's trip where y is the total distance from the park after x hours.

c. Graphs Graph both equations on the same coordinate plane.

d. Words Will Monique's and Tasha's trip overlap before they reach the park? Explain your reasoning.

e. Numbers Interpret the initial value of each function.