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

Respuesta :

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:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

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

[tex]m=\frac{12-6}{5-2}=\frac{6}{3}=2[/tex]

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