Answer:
436 items
Step-by-step explanation:
When a quantity A is inversely proportional to another quantity B, we can write:
![A=\frac{k}{B}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7Bk%7D%7BB%7D)
Where k is the proportionality constant [that we need to find]
For this problem, we can write the ratio as:
![N=\frac{k}{C}](https://tex.z-dn.net/?f=N%3D%5Cfrac%7Bk%7D%7BC%7D)
Now given N = 480 and C = 4.90, we first find k:
![N=\frac{k}{C}\\480=\frac{k}{4.90}\\k=4.90*480\\k=2352](https://tex.z-dn.net/?f=N%3D%5Cfrac%7Bk%7D%7BC%7D%5C%5C480%3D%5Cfrac%7Bk%7D%7B4.90%7D%5C%5Ck%3D4.90%2A480%5C%5Ck%3D2352)
Now, as second step, we need this time to find N, when
C = 5.40
Note, we know know k = 2352, so we find N:
![N=\frac{k}{C}\\N=\frac{2352}{5.40}\\N=435.55](https://tex.z-dn.net/?f=N%3D%5Cfrac%7Bk%7D%7BC%7D%5C%5CN%3D%5Cfrac%7B2352%7D%7B5.40%7D%5C%5CN%3D435.55)
Rounding to next whole number, we have 436 items