Ask question

Ask question

All categories

vampirchik [111]

2 years ago

7

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.

1 answer:

MatroZZZ [7]2 years ago

5 0

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

<h3>What is a linear function?</h3>

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:

$y=mx+c$

Where

m represents slope
c represents the y-intercept

The slope is calculated as:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$m = \frac{576 - 64}{18-2}$

$m = \frac{512}{16}$

$m = 32$

The linear equation is then calculated as:

$y =m(x -x_1) + y_1$

So, we have:

$y =32(x -2) + 64$

$y =32x -64 + 64$

$y =32x$

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

Read more about linear functions at:

brainly.com/question/14323743

You might be interested in

I’ll send a picture of problem and graph I don’t know how to write it out on here.

JulsSmile [24]

• Given the table of values, you can identify these points:

$(0,4),(1,8),(2,12),(3,16),(5,24),(6,28),(7,32)$

If you plot them on a Coordinate Plane, you get:

As you can observe, it is a Linear Function.

• The equation of a line in Slope-Intercept Form is:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

In this case, you can identify in the graph that:

$b=4$

Therefore, you can substitute that value and the coordinates of one of the points on the line, into this equation:

$y=mx+b$

And then solve for "m", in order to find the slope of the line.

Using this point:

$(1,8)$

You get:

$\begin{gathered} 8=m(1)+4 \\ 8-4=m \\ m=4 \end{gathered}$

Therefore, the equation for the data in Slope-Intercept Form is:

$y=4x+4$

Hence, the answer is:

• It represents a Linear Function.

,

• Equation:

$y=4x+4$

8 0

1 year ago

Which of the following is equivalent to 140 centiliters?

Norma-Jean [14]

The answer is C) because one litre=100 centiliters, and one kilolitre=one litre which means that one kilolitre =100000 centiliters
So 140 centiliters are 140 divided by 100000 kiloliters=0.00140 kiloliters

6 0

3 years ago

Read 2 more answers

If Julie needs 3 1/4

11Alexandr11 [23.1K]

Is there more to the question?

3 0

2 years ago

Read 2 more answers

I will mark brainliest! I need answers now! Which Iinear function has the same slope as the one that is represented by the table

kap26 [50]

Answer:

B

Step-by-step explanation:

3 0

2 years ago

rows of chairs are set out for a wedding , there are 6 Chairs in the first row , 14 chairs in seconds row and 22 chairs in the t

Oxana [17]

Though question the answer is 294

5 0

3 years ago