If she can only work 15 hours a week and earns $7 per hour, just multiply 7 by 15 and you'll have your answer :)
To solve this, we'll use Euler's Polyhedral formula.
This formula states that in any polyhedron, the number of vertices V, faces F, and edges E, satisfy:
![V+F-E=2](https://tex.z-dn.net/?f=V%2BF-E%3D2)
If we solve for the edges E, we'll get:
![V+F-2=E](https://tex.z-dn.net/?f=V%2BF-2%3DE)
Using the data given,
![\begin{gathered} V+F-2=E \\ \rightarrow6+8-2=E \\ \rightarrow12=E \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20V%2BF-2%3DE%20%5C%5C%20%5Crightarrow6%2B8-2%3DE%20%5C%5C%20%5Crightarrow12%3DE%20%5Cend%7Bgathered%7D)
We get that the polyhedron would have 12 edges
I combined the three steps together and the following are my thoughts:
We can set the fixed fee for renting as (f) and an dynamic fee related to days as (d) per day, then we have:
![\left \{ {{f+5d=36} \atop {f+8d=48}} \right.](https://tex.z-dn.net/?f=%20%5Cleft%20%5C%7B%20%7B%7Bf%2B5d%3D36%7D%20%5Catop%20%7Bf%2B8d%3D48%7D%7D%20%5Cright.%20)
Then we could get f=16, d=4, so we could have the equation as follows:
y = 16 + 4x
16. 8/5
17. 13/24
18. 17/4
19. -1/6
58 boxes at first I got this by adding 22+7 which is 29 then multiplied two since it said half got destroyed and 29x2 is 58. So then I did 58/2 which us 29 minus the 7 she brought which is 22 and she has 22 left! I hope you understand lol