Answer:
[tex]t(x) =12.5x[/tex]
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, [tex]t(x) \propto x[/tex]
[tex]t(x) = kx[/tex]---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
[tex]175 = k(14)[/tex]
[tex]\frac{175}{14} = k[/tex]
[tex]12.5 = k[/tex]
Substitute the value of k in A
[tex]t(x) =12.5x[/tex]
Hence an equation can be used to find the ticket sales for x customers is [tex]t(x) =12.5x[/tex]
