The following chart shows the number of concert tickets sold and the profit earned. Find an equation that defines the profit with respect to the number of tickets sold.

Tickets Sold Profit (dollars)
50 100
100 250
150 400
200 550

1.) P = 2T
2.) P = 3T + 50
3.) P = 2T – 50
4.) P = 3T – 50

Respuesta :

Answer:

it's 4

Step-by-step explanation:

because

let's say

a. P = 100

T = 50

P = 3T - 50

= 3(50) - 50

= 150 - 50

= 100

and the same for the others

The equation of the profit will be P = 3T – 50. Then the correct option is 4.

What is the equation of line?

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The following chart shows the number of concert tickets sold and the profit earned.

Tickets Sold            Profit (dollars)

      50                             100

     100                            250

     150                            400

    200                            550

The equation that defines the profit (P) with respect to the number of tickets sold (T) will be

m = 250 – 100 / 100 – 50

m = 150 / 50

m = 3

Then the equation will be

y = 3m + c

For T = 150, P will be 400.

400 = 150 x 3 + c

400 = 450 + c

    c = –50

Then the equation of the profit will be

P = 3T – 50

Then the correct option is 4.

More about the equation of line link is given below.

https://brainly.com/question/21511618

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