Im stuck on this question. A train travels along a straight track so that its distance in miles, d(t) , from Newark Penn Station is given as a function of time, t , in minutes. After 2 minutes the train has traveled 6 miles, and after 5 minutes the train has traveled 12 miles. Which of the following describes the slope of the relationship between t and d(t) ?

Question

Im stuck on this question. A train travels along a straight track so that its distance in miles,  d(t)  , from Newark Penn Station is given as a function of time,  t  , in minutes. After 2 minutes the train has traveled 6 miles, and after 5 minutes the train has traveled 12 miles. Which of the following describes the slope of the relationship between  t   and  d(t)  ?

oobleck · Answer

slope = ∆d/∆t = (12-6)/(5-2) = ___

Anonymous · Answer

speed during first 2 min = 6/2 = 3 miles/minute (no way by the way)
during next 3 min it does 6 miles again = 6/3 = 2 miles/min
It is slowing down. That is no surprise because 3 miles / min = 180 miles/hour which is a bit nuts just coming out of the station. Anyway negative slope.