1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Verdich [7]
3 years ago
8

A movie theater sells popcorn in bags of different sizes. The table shows the volume of popcorn and the price of the bag.

Mathematics
1 answer:
scoundrel [369]3 years ago
6 0

Answer:

<em>The price for a 60-ounce bag of popcorn would be $16</em>

Step-by-step explanation:

<u>Function Modeling</u>

The behavior of some parameters that depend on a set of variables can be modeled in several ways, like linear, quadratic, exponential, logarithmic, among many others.

The selection of the model is often a complex decision that involves statistics and data analysis.

The question provides us with four points where the volume of popcorn bags and the price in dollars. The easiest function that can be used is the line.

The equation of a line of the volume V and the price p can be found with the expression

\displaystyle p-p_1=\frac{p_2-p_1}{V_2-V_1}(V-V_1)

We'll use the first two values (6,10) (8,20)

\displaystyle p-6=\frac{8-6}{20-10}(V-10)

Simplifying and rearranging, we get the model

\displaystyle p(V)=\frac{1}{5}V+4

To test the accuracy of the model, we compute the values of p for V=35 and for V=48

\displaystyle p(35)=\frac{1}{5}(35)+4=11

\displaystyle p(48)=\frac{1}{5}(48)+4=13.6

Since the computed values are equal to those of the table, the model is accurate. We can now predict the price for V=60

\displaystyle p(60)=\frac{1}{5}(60)+4=16

The price for a 60-ounce bag of popcorn would be $16

You might be interested in
Nola was selling tickets at the high school dance. At the end of the evening she picked up the cash box and noticed a dollar lyi
Blizzard [7]

Answer:

The $1 belongs to the cash box

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine if the $1 belongs to the cash box or not

Represent singles with s and couples with c.

From the attachment, we have:

s + c = 47 --- total attendance

5s + 4c =200 --- ticket sold

Solve for s and c.

Make s the subject in (1)

s = 47-c

Substitute 47 - c for s in (2)

5(47 - c) + 4c = 200

Open bracket

235 - 5c + 4c = 200

235 - c = 200

c = 235 - 200

c = 35

This means that the total individual which makes up the couples are 35. This is not possible because couples are in 2's and the total should be an even number.

<em>So, we can conclude that the $1 belongs to the cash box</em>

4 0
2 years ago
Can someone help me with this?
zvonat [6]
Sorry, don't have time to do them right now but I know who does!

http://www.wolframalpha.com/widgets/view.jsp?id=ae438682ce61743f90d4693c497621b7

Just plug in 2 at a time.
4 0
3 years ago
What number x 9 is 57
Svetllana [295]

6×9=57

Step-by-step explanation:

get a multiplication chart and find the answer

3 0
3 years ago
Read 2 more answers
If mZDEF = 115, then what are mZFEG and mZHEG? The diagram is not to scale.
stepan [7]

Answer:

the answer is c

Step-by-step explanation:

Im guessing but i hope you get it right im not that smart sooooo ye srry

6 0
3 years ago
What does m equal?please help me.
algol13

\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}

Actually Welcome to the Concept of the inequalities.

===> -7 + 45m - 35 < 9m - 11

===> 45m - 42 < 9m - 11

===> 45m - 9m < -11 + 42

==> 36m < 31

==> m < 31/36

hence the value of m < 31/36

6 0
3 years ago
Read 2 more answers
Other questions:
  • How many yards in 72 Inches
    5·2 answers
  • f a football player passes a football from 4 feet off the ground with an initial velocity of 36 feet per second, how long will i
    9·1 answer
  • 11x+4&lt;15 or 12x-7&gt;-25
    12·1 answer
  • The volume of a cone is 370x3 cubic units and its height is x units.
    9·1 answer
  • There are
    15·1 answer
  • The only solution of the equation x2 + bx + 16 = 0 is x = 4. What is the value of b?
    9·2 answers
  • By selling an article for Rs 144, a man loses 1/7 of his outlay. Find its cost price.
    11·1 answer
  • 48x + 6 factored is 6 (8x + 1)<br> True<br> False
    15·2 answers
  • A candy company used 8 pints of chocolate to
    9·1 answer
  • C= 6x+100 and c=10x+80 <br> what number does x have to be for c to be the same on each equation?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!