Question

1. 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 minutes. If after 2 minutes the train has traveled 6 miles, and after 5 minutes the train has traveled 12 miles, the average rate (think slope!) that the train travels is vwith a unit of

Answer 1

We have to find the slope of the line that passes through the points (2, 6) and (5, 12).

The slope of a line that passes through points (x1, y1) and (x2,y2) is computed as follows:

`m=(y_2-y_1)/(x_2-x_1)`

Replacing with (2, 6) and (5, 12),

`m=(12-6)/(5-2)=(6)/(3)=2`

The average rate that the train travels is 2 with a unit of​ miles/minute.