4. Keith is in a hot air balloon that is 200 feet above the ground and is ascending 1 1/2feet per second. Erica
is in a hot air balloon that is 548 feet above the
ground and is descending 1 2/5 feet per second. After
how many seconds will the hot air balloons be the
same number of feet above the ground?

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is