Rational Equations word problem

Question

The number of widgets that a manufacturing plant can produce varies jointly as the number of workers and the time that they have worked. Find the constant of proportionality k to 2 decimal places if 595 workers work 15 hours and can produce 110670 widgets.

 

K=_______

 

 

How many widgets (to the nearest tenth) can be produced by 615 workers in 32 hours?
Widgets =________

Answer 1

y = kxt

 

 110670 = k(595)(15)

 

110670 = 8925k

 

k = 110670/8925  = 12.4

 

y = 12.49(615)(32)

 

y =  255,936 widgets

 

A²