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 305 workers work 2 hours and can produce 5880.4 widgets

Answer 1

k = 9.64

Explanation:

given data

workers w = 305

time t = 2 hour

produce widgets N = 5880.4

solution

we know that here

N ∝ w × t .....................1

when we remove directly proportional so here k constant

so equation will be

N = k × w × t .....................1

put here value and we get

5880.4 = k × 305 × 2

solve it we get k

k = 9.64