Question

Malia is observing the velocity of a cyclist at different times. After two hours, the velocity of the cyclist is 15 km/h. After five hours, the velocity of the cyclist is 12 km/h. Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times. Show your work and define the variables used. Part B: How can you graph the equations obtained in Part A for the first 12 hours?

Answer 1

Part a: Part A: Equation: v = -1t + 17v = velocity and t = timeWork:The first point is (2,15):v = 15 and 2 = tMy equation: v = -1t + 17Substitute v for 15 and t for 215 = -1(2) + 17Solve:15 = -2 + 1715 = 15Do the same for the point (5,12):12 = -1(5) + 1712 = -5 + 1712 = 12