contestada

An executive for the movie production company wants to create a function that models this data. . Create a function that can be used to model the data shown in the table . Be sure to define the variables and provide justification for your choice of function . Discuss any possible domain restrictions which should be placed on your model . Use your model to estimate the box office gross the company should expect in week 10 .

Respuesta :

MrRoyal

Functions can be modeled by equations, tables and graphs

  • The equation that models the function is [tex]y = \frac 14x +1[/tex]
  • The domain of the function is the set of whole numbers
  • The company should expect 4 box office gross in week 10

How to determine the function

From the question, we have the following ordered pairs

(x,y) = (0,1) and (4,2)

The function is a linear function.

So, we start by calculating the slope (m) using:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

Substitute known values

[tex]m = \frac{2 - 1}{4 - 0}[/tex]

[tex]m = \frac{1}{4}[/tex]

The equation is then calculated as:

[tex]y = m(x -x_1) +y_1[/tex]

This gives

[tex]y = \frac 14(x -0) +1[/tex]

[tex]y = \frac 14x +1[/tex]

The domain of the above function is the set of whole numbers

Substitute 10 for x, to calculate the number of box office gross for week 10

[tex]y = \frac 14 * 10 +1[/tex]

[tex]y = 3.5[/tex]

Approximate

[tex]y = 4[/tex]

Hence, the company should expect 4 box office gross in week 10

Read more about linear functions at:

https://brainly.com/question/15602982

Otras preguntas