The number of widgets that a manufacturing plant can produce varies jointly as the number of workers and the time that they have worked.

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.

1) Find the constant of proportionality, k, to 2 decimal places if 615 workers work 7 hours and can produce 29833.65 widgets.

k = ___________

2) How many widgets (to the nearest tenth) can be produced by 665 workers in 32 hours?

Widgets =__________

Answer 1

29833.65 = (7)(615)k

Can you calculate k?

w = (32)(665)k, k being the value from above.