Answer:
Hazel will have knitted 25 centimeters of the scarf
SOLUTION
Problem Statement
We are told Hazel knits 5 centimeters of scarf every night for 5 nights. We are required to find the length of the scarf Hazel will have knitted after 5 nights.
Solution
We are told Hazel makes 5 centimeters of scarf every night. Thus, for each night up till 5 nights, we just need to add the length of scarf Hazel has made.
Let us count for each night.
Night 1:
Hazel makes 5 centimeters of the scarf.
Night 2:
Hazel makes extra 5 centimeters, which means she has made:
![\begin{gathered} (5+5)\text{centimeters} \\ =10\text{ centimeters} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/9f0uf022ogwpylnr5c88hvdqbq01mnzdx9.png)
Night 3:
Hazel makes extra 5 centimeters, which means she has made:
![\begin{gathered} (10+5)\text{centimeters} \\ =15\text{ centimeters} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/cohh948vxq82j78jtsdc36vimug2arzync.png)
NIght 4:
Hazel makes extra 5 centimeters, which means she has made:
![\begin{gathered} (15+5)\text{centimeters} \\ =20\text{ centimeters} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/mrgmvkvuwhs8x0gyl1sl1xi0ylsmi93ehc.png)
NIght 5:
Hazel makes extra 5 centimeters, which means she has made:
![\begin{gathered} (20+5)\text{centimeters} \\ =25\text{ centimeters} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/2rfjh222wf6p74rreyxajwwp0zhe8i03yk.png)
Final Answer
Thus, Hazel will have knitted 25 centimeters of the scarf