y 1=x+5
y2=0.5x+ 15
y3 = y 1-y2 =(x+5)-(0.5x+ 15)= 0.5x- 10
∵30≤x≤50
When x=30, y3= 15- 10=5.
When x=50, y3=25- 10= 15.
Therefore, 5≤y3≤ 15.
Therefore, when 30 is less than or equal to x is less than or equal to 50, the maximum height difference between two balloons is 15m.