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

k = 9.64

Step-by-step 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

the correct answer is b. negative exponential growth.

step-by-step explanation:

you can tell it's an exponential function because it decreases rapidly then levels out and never touches the x-axis.

it is negative because the y-axis decreases as the x-axis increases.

therefore it is a negative exponential growth graph.

hope i !

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3