Answer:
![t(x) =12.5x](https://tex.z-dn.net/?f=t%28x%29%20%3D12.5x)
Step-by-step explanation:
Let the number of customers be x
Let amount of x tickets be t(x)
The amount of sales of tickets at a movie theater t(x) varies directly with the number of customers x.
So, ![t(x) \propto x](https://tex.z-dn.net/?f=t%28x%29%20%5Cpropto%20x)
---A
where k is the constant of proportionality
Fourteen customers paid a total of $175 for tickets.
So, x = 14
y = 175
Substitute the values in A
![175 = k(14)](https://tex.z-dn.net/?f=175%20%3D%20k%2814%29)
![\frac{175}{14} = k](https://tex.z-dn.net/?f=%5Cfrac%7B175%7D%7B14%7D%20%3D%20k)
![12.5 = k](https://tex.z-dn.net/?f=12.5%20%3D%20k)
Substitute the value of k in A
![t(x) =12.5x](https://tex.z-dn.net/?f=t%28x%29%20%3D12.5x)
Hence an equation can be used to find the ticket sales for x customers is ![t(x) =12.5x](https://tex.z-dn.net/?f=t%28x%29%20%3D12.5x)