Question

Jason leaves Detroit at 3:00 PM and drives at a constant speed west along I-96. He passes Ann Arbor, 40 mi from Detroit, at 3:40 PM. (a) Express the distance traveled in terms of the time (in hours) elapsed

Answer 1

t0 = 0, t1 = 40/60 = 2/3
d0 = 0, d1 = 40

d - d0 = (d1 - d0)/(t1 - t0) (t - t0)
d - 0 = (40 - 0)/(2/3 - 0) (t - 0)
d = 40/(2/3) t = 60t
d = 60t.