The amount of sales of tickets at a movie theater t (x) varies directly with the number of customers x. Fourteen customers paid a total of $175 for tickets.

Which equation can be used to find the ticket sales for x customers?

t(x)= 175x
t(x)= 12.5/x
t(x)= 12.5x
t(x)= 14x

Respuesta :

175=12.5(14)

so your answer would be C) f(x)=12.5x

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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