Working independently at the same constant rate, 9 machines can fill an order in 20 hours. how many of these machines, working independently, would be needed to fill the same order in 45 hours?

4 machines

Step-by-step explanation:

In the given situation, the number of machines is inversely proportional to the time taken by them.

Given : 9 machines can fill an order in 20 hours.

Let n be the number of machines required to fill the same order in 45 hours.

Then , we have the following inverse variation equation:-

Hence, the 4 machines would be needed to fill the same order in 45 hours.

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew