System of inequalities

Question

A track runner has to perform two warm up training taks a day-jogging and stretching. The runner must jog for at least 8 minutes and stretch for at least 15 minutes. The runner has 1 hour warmup. 

Determine the system on inequalities that describes the above situation, and graph the system of inequalities on a coordinate system. 

Answer 1

must jog at least 8 minutes,

stretch at least 15 minutes

1 hour warmup

j>/=8, s>/=15, j+s</=60

graph t = time on the vertical axis

j+s =60 is a straight line from (0,60) to (60,0)

j+s>60 is all area north and east of the line j+s=60

s=15 is a vertical line

j=8 is a horizontal line

feasible area = a right triangle, with 3 sides, hypotenuse J+s =60

base j=8, height s=15

feasible area includes all 3 sides and all points inside the triangle