Question

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

Answer 1

175/14= $12.50 for each customer
You're welcome:)

Answer 2

`t(x) =12.5x`

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`

`t(x) = kx`---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)`

`(175)/(14) = k`

`12.5 = k`

Substitute the value of k in A

`t(x) =12.5x`

Hence an equation can be used to find the ticket sales for x customers is
`t(x) =12.5x`