Final answer:
Elena will need to spend 1 night knitting to create a 10 centimeters long scarf, based on the given equation t = 10n. The correct answer is (a) 1 night.
Step-by-step explanation:
The equation given is t = 10n, where t represents the total length Elena has knit in centimeters, and n represents the number of nights Elena has spent knitting. To find out how many nights Elena will have to spend knitting to achieve a total length of 10 centimeters, we need to solve for n when t equals 10 cm.
We can rearrange the equation to solve for n:
- Set the equation equal to the desired total length: 10 = 10n.
- Divide both sides of the equation by 10 to solve for n: n = 10 / 10.
- Calculate the result: n = 1.
Therefore, Elena will have to spend 1 night knitting to create a scarf that is 10 centimeters in length. The correct answer is (a) 1 night.