After filling the ketchup dispenser at the snack bar where she works, kelley mesaures the level of ketchup during the day at diffrent hourly intervals.
part a: assuming the ketchup is used at a constant rate, write a linear equation that can be used to determine the level of ketchup in the dispenser after x hours.
part b: how can you use the equation from part a to find the level of ketchup when the dispenser is full?
part c: if kelley fills the ketchup dispenser just before the restaurant opens, and the restaurant is open for 18 hours, will the dispenser need to be refilled by closing time? explain.

its a straight line parallel to the time axis

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

mnkjn

step-by-step explanation: