Find the unit rate for number of parts manufactured per hour if 1620 parts are made in 6 hours.

270 parts per hour

Step-by-step explanation:

given

we are told that 1620 parts are manufactured in 6 hours.

Required

Unit rate.

The unit rate in this context is defined as the number of parts that can be manufactured in one hour

Step two:

To find the unit rate, we have to divide the total parts manufactured by the total time taken

unit rate= 1620/6

unit rate= 270 parts per hour

step-by-step explanation:

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