To find out how many centimeters of scarf Scarlett will have knit after 41 nights, we first need to determine the knitting rate (unit rate) of Scarlett.
Scarlett knit a total of 44 centimeters of scarf over 22 nights. We can find the unit rate by dividing the total centimeters by the total nights:
\[ \text{Knitting rate} = \frac{44 \text{ cm}}{22 \text{ nights}} = 2 \text{ cm per night} \]
Now that we know Scarlett knits 2 centimeters of scarf each night, we can calculate the total scarf length after 41 nights:
\[ \text{Total centimeters} = \text{Knitting rate} \times \text{Number of nights} = 2 \text{ cm/night} \times 41 \text{ nights} = 82 \text{ cm} \]
Thus, after 41 nights of knitting, Scarlett will have knit a total of 82 centimeters of scarf.