During his shift Damian filled 8

orders in 30 minutes if he keeps up that rate how many orders will he fill in 7 hours convert the units of time

To convert the units of time from hours to minutes, we need to multiply the number of hours by 60 because there are 60 minutes in an hour.

7 hours * 60 minutes/hour = <<7*60=420>>420 minutes.

Now, we can use the ratio of orders filled to time taken to find the number of orders Damian will fill in 7 hours.
8 orders / 30 minutes = x orders / 420 minutes.

Cross multiplying, we get:
(8 orders) * (420 minutes) = (30 minutes) * x orders.
3360 = 30x.

Dividing both sides of the equation by 30, we find:
x = 3360 / 30 = 112.

Therefore, Damian will fill 112 orders in 7 hours.