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
N76 [4]
3 years ago
5

Kevin operates a movie theater that sells about 800 tickets per day for $8 each. Kevin predicts that for each $0.50 increase in

the ticket price, 40 fewer tickets will be sold. Let x represent the number of $0.50 price increases and f(x) represent the total earnings from ticket sales.
f(x)=-20x^2+80x+6400


Kevin wants to determine the best potential earnings from ticket sales each day.


Complete the following statement for this situation.


The function reveals that the (minimum or maximum) earnings from ticket sales will be (320,6400,6480 or 720$) after(6,8,4 or 2) $0.50 price increases.
Mathematics
1 answer:
dmitriy555 [2]3 years ago
3 0

Answer:

The function reveals that the maximum earning from ticket sales will be $6480 after 2 ($0.50) price increases

Step-by-step explanation:

* Lets explain how to solve the problem

- The function f(x) = -20x² + 80x + 6400 represents the total

 earnings from ticket sales and x represents the number of $0.50

 price increases

∵ f(x) is a quadratic function

∵ The coefficient of x² is -20

∴ The function has a maximum value

- The vertex of the quadratic function f(x) = ax² + bx + c is (h , k),

 where h = -b/2a and k = f(h)

* Lets find the maximum point of f(x)

∵ a = -20 , b = 80

∵ h = -b/2a

∴ h = -(80)/2(-20) = -80/-40 = 2

∵ k = f(h) and h = 2

∴ f(2) = -20(2)² + 80 (2) + 6400

∴ f(2) = -80 + 160 + 6400

∴ f(2) = 6480

∴ k = 6480

* The function reveals that the maximum earning from ticket sales

  will be $6480 after 2 ($0.50) price increases

You might be interested in
Find the value of x in the figure below if MP is parallel to RA.
lawyer [7]

Answer: 4.5 units

Step-by-step explanation:

6 0
2 years ago
The high temperature one day was -1 F. The low temperature was -5 F. What was the difference between the high and low temperatur
zhuklara [117]
The difference is 4 degrees Fahrenheit
3 0
3 years ago
Read 2 more answers
PLEASE I NEED THIS!! Which quadrilateral(s) have the same attributes as a rhombus
uranmaximum [27]

Answer:

The correct answer is square and parallelogram

Explanation:

  • If you turn the rhombus around it will turn into a square
8 0
2 years ago
3. A quadratic polynomial whose<br>product and the sum of<br>zéroes are -12 and 1​
muminat

Answer:

the equation is : x²-x-12

Step-by-step explanation:

the quadratic equation is in the form of : y=ax²+bx+c

the product of the zeros is -12 and the sum is 1

b  = - 1

c=-12 (product)

y=x²-x-12

check : factorize first (x+3)(x-4)=0

either x+3=0 then x=-3

or x-4=0 then x=4

-3*4=-12

-3+4=1

the equation is : x²-x-12

3 0
3 years ago
Determine whether or not this is a function. Explain why it is or not is.<br><br> Thank you!
emmasim [6.3K]

Here you have black dots at x = {0, 1, 2, 4, 4.5, 5}.

For each of these x-values, there is one and only one associated y-value.  This fact tells us that the graph does represent a function.


6 0
3 years ago
Other questions:
  • Square EFGH stretches vertically by a factor of 2.5 to create square E′F′G′H′. The square stretches with respect to the x-axis.
    13·2 answers
  • What is not a rigid motion transformation
    5·2 answers
  • If the measure of angle T is 95 degrees and the measure of angle S is 100 degrees, then the measure of angle R is ___ degrees an
    14·1 answer
  • Find the total number of outcomes if Johnny can choose between 6 pair of pants, 5 shirts, and 4 belts
    11·1 answer
  • PLS HELP ASAP <br><br><br> What are the possible rational zeros of f(x) = x4 + 2x3 − 3x2 − 4x − 12?
    7·1 answer
  • NEED HALP PLEAAAASE!!! I REALLY DONT GET THIS-
    14·1 answer
  • Which table contains only corresponding x - values and y - values where the value of y is 3 more than the quotient of x and 2?
    15·2 answers
  • Please help I'm stuck :/
    15·2 answers
  • I’m so confused on how to do it
    11·1 answer
  • Brainly for questions 4 &amp; 5
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!