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A linear function has the table of values shown. The information in the table shows the number of tickets sold on opening night of a movie as a function of the number of hours since the tickets have been on sale. Number of Hours (x) 2 6 18
Number of Tickets Sold (y) 64 192 576

1.Write the equation that gives the number of tickets sold, y, as a linear function of the number of hours, x, since the tickets have been on sale.

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MrRoyal

The equation that represents the linear function is y =32x

What is a linear function?

The question is an illustration of a linear function; a linear function is a function that has a constant rate/slope

A linear function is represented as:

[tex]y=mx+c[/tex]

Where

  • m represents slope
  • c represents the y-intercept

The slope is calculated as:

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

So, we have:

[tex]m = \frac{576 - 64}{18-2}[/tex]

[tex]m = \frac{512}{16}[/tex]

[tex]m = 32[/tex]

The linear equation is then calculated as:

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

So, we have:

[tex]y =32(x -2) + 64[/tex]

[tex]y =32x -64 + 64[/tex]

[tex]y =32x[/tex]

Hence, the equation that represents the linear function is y =32x

Read more about linear functions at:

https://brainly.com/question/14323743

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