1. The problem asks: How much will the purchaser spend buying the printer and 6 ink cartridges? 2. The linear function given is $y = 25x + 40$, where $y$ represents the total cost and $x$ represents the number of ink cartridges. 3. The constant term $40$ represents the fixed cost of the printer. 4. The coefficient $25$ represents the cost per ink cartridge. 5. To find the total cost for 6 ink cartridges, substitute $x = 6$ into the function: $$y = 25 \times 6 + 40$$ 6. Calculate the multiplication: $$y = 150 + 40$$ 7. Add the values: $$y = 190$$ 8. Therefore, the purchaser will spend $190$ in total for the printer and 6 ink cartridges.