Answer:
3m = 18
Step-by-step explanation:
9 + 12m = 6 + 15(m - 1)
9 + 12m = 6 + 15m - 15
3m = 18
The recursive formula

is telling you that the next term in the sequence is five times the previous one, minus 3.
So, if we start with
, we have to multiply it by 5 and subtract 3 to get the next:

And similarly we can obtain all the next terms:



5 would be the dependent variable because the number 5 depends on how many greeting cards are bought.
To figure out this problem, let's set up an equation first to make it easier:
702.50 = 5.5x + 70
x = amount charged per hour
702.50 = 5.5x + 70
-70 -70
-----------------------------
632.5 = 5.5x
/5.5 /5.5
--------------------
115 = x
Owen was charged $115 per hour