Final answer:
The cost of 300 packs of printer ink cartridges is $8970.00. When the cost is $8234.00, approximately 275 packs are ordered.
Step-by-step explanation:
To calculate the cost of 300 packs of printer ink cartridges, we first need to determine the reductions that apply.
For the first 120 packs, there is no reduction.
For the next 180 packs (300 - 120), there is a reduction of 5 cents per pack. This amounts to a reduction of 180 * $0.05 = $9.00.
So, the total cost for 300 packs is $30 * 300 - $9.00 = $8970.00.
To find out how many packs are ordered when the cost is $8234.00, we can set up an equation: $8234.00 = $30 * x - ($9.00 + $12.20), where x is the number of packs.
Simplifying the equation, we have $8234.00 = $30 * x - $21.20. Solving for x, we get x = ($8234.00 + $21.20) / $30 = 275.50.