Respuesta :
The amount of sales of tickets at a movie theater t (x) varies directly with the number of customers x.
The equation can be used to find the ticket sales for x customers is [tex]t(x)=12.5x[/tex]
Let the number of customer be x
Let the amount of x ticket be t(x)
The amount of sales of tickets at a movie theater t(x) varies directly with the number of customers x.
[tex]\frac{175}{14}[/tex] = $[tex]12.50[/tex]
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)[/tex] ∝ x
[tex]t(x)=kx[/tex] ...........(i)
Where k is the constant of proportionality
Fourteen customers paid a total of $175
So, x = 14
y = 175
[tex]175=k(14)\\k=12.5[/tex]
Substitute the value of k in (i)
[tex]t(x)=12.5x[/tex]
Therefore, the equation can be used to find the ticket sales for x customers is [tex]t(x)=12.5x[/tex]
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