A movie theater has been charging $10.00 per person and selling about 500 tickets on a typical weeknight. After surveying their customers, the theater management estimates that for every 50 cents that they lower the price, the number of moviegoers will increase by 50 per night. Find the demand function. (Let x represent the number of tickets sold and p represent the price.)

Answers

Answer 1

Answer:

[tex]p(x) = -0.01x + 15[/tex]

Step-by-step explanation:

Given

Let x represent the number of tickets, and p the charges

[tex](x_1,p_1) = (500,10)[/tex]

A reduction of 50c gives an increment of 50 tickets.

This gives:

[tex](x_2,p_2) = (500+50,10-0,5)[/tex] ---- [tex]50c = \$0.5[/tex]

[tex](x_2,p_2) = (550,9.5)[/tex]

Required

Determine the demand function

First, calculate the slope:

[tex]m = \frac{p_2 - p_1}{x_2 - x_1}[/tex]

[tex]m = \frac{9.5 - 10}{550-500}[/tex]

[tex]m = \frac{-0.5}{50}[/tex]

[tex]m = -0.01[/tex]

So, the equation is:

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

[tex]p = -0.01(x - 500) +10[/tex]

[tex]p = -0.01x + 5 +10[/tex]

[tex]p = -0.01x + 15[/tex]

Hence, the function is:

[tex]p(x) = -0.01x + 15[/tex]


Related Questions

What is the area of ​​a rectangle that is 6 inches long by 1/12 inch wide?

Answers

A = lw

A = (6)(1/12)

A = 1/2


The total cost of an electronic photo
display comes to $100. The price
y plus the tax of $6 equals $100.
Write an equation to find the price
of the electronic photo display.

Answers

Answer:

P = y * 1.06

Step-by-step explanation:

Let y be the net price (no tax), t the tax (as a factor) and P the total price (tax included),

P = y * t

From the info provided, we know that for each 100 USD, 6 USD is tax, so 6%,

TIP: By multiplying by 1.06 we add the 6% to the net price (6% is 0.06)

P = y * 1.06

Which is a true statement about angles 1 and 2? O the two angles are supplementary
the two angles are complementary
the two angles are neither complementary nor supplementary
the two angles are vertical angles​

Answers

C neither
Thank you hope this helps

Which of the following statements are true? (Select all that apply)

Correlation coefficients are negative when the relationship is weak and positive when they are strong.

Correlation coefficients show the relationship of the x and y values.

Correlation coefficients can be any value less than 1 or greater than −1.

Correlation coefficients show the x and y intercepts of the best fit line.

Correlation coefficients can be represented by the variable r.

Answers

Answer:

a and c I'm 99percent shure

SOMEONE PLEASE HELP IM STUCK AND ITS MY LAST QUESTION

Answers

Answer:

Theta=60

Step-by-step explanation:

Lets start to get the value of x in [tex]sin(x)=\frac{1}{2}[/tex]

Just do the opposite which is [tex]sin^{-1}(\frac{1}{2}) = 30[/tex]

So [tex]sin(30)=\frac{1}{2}[/tex]

Still we got only the value of x not theta then

The value of x = theta/2

Theta/2=30 multiply each side by 2

Theta = 60

The table below shows the favorite color of all the students at Wolff Elementary school.

Answers

Answer:

Pretty shure its the one at the bottom (C)

Step-by-step explanation:

the other ones have very limited amount of people they can show on the graph, so it makes sience to pick the biggest one because it will fluxuate.

(basically its C, also not always right )

A plate is considered a major plate if it covers an area of more than _____________ kilometres.



A. 200,000,000 km2



B. 40,000,000 km2



C. 2,000 km2



D. 20,000,000 km2

Answers

Answer:

i think is B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Solve for x Enter the solutions from least to greatest . (x - 4)(- 5x + 1) = 0 lesser x = greater x =

Answers

Answer:

dont know maybe someone else can help u

:€

Answer:

lesser x=1/5

greater x =4

Step-by-step explanation:

Please refer to the attachment

Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.02 significance level.
GPA-Night GPA-Day 3.15 3.47 3.68 3.49 3.34 3.07 3.07 3.31 3.31 3.28 3.2 3.05 3.07 3.12 2.8 3.5 3.04 3.04 3.13 3.19 3.54 3.26 3.24 3.31 3.02 3.45 3.44 2.9 2.79 2.76 3.18 2.69 2.99 3.46 3.28 3.09 3.16 2.72 3.08 3.14 2.47 3.08 3.03 2.99 3.02 3.11 2.58 2.84 3.36 2.99 3.04 2.99
(1) The null and alternative hypothesis would be:
a.H0:μN≥μD
H1:μN>μD.
b.H0:μN=μD
H1:μN≠μD.
c.H0:pN≥pD
H1:pN d.H0:pN=pD
H1:pN≠pD.
e.H0:μN≤μD
H1:μN<μD
f.H0:pN≤pD
H1:pN>pD.
(2) The test is:_______.
a. right-tailed.
b. two-tailed.
c. left-tailed.
(3) The sample consisted of 70 night students, with a sample mean GPA of 2.12 and a standard deviation of 0.08, and 70 day students, with a sample mean GPA of 2.08 and a standard deviation of 0.02

Answers

Answer:

Step-by-step explanation:

Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.02 significance level.

GPA-Night GPA-Day 3.15 3.47 3.68 3.49 3.34 3.07 3.07 3.31 3.31 3.28 3.2 3.05 3.07 3.12 2.8 3.5 3.04 3.04 3.13 3.19 3.54 3.26 3.24 3.31 3.02 3.45 3.44 2.9 2.79 2.76 3.18 2.69 2.99 3.46 3.28 3.09 3.16 2.72 3.08 3.14 2.47 3.08 3.03 2.99 3.02 3.11 2.58 2.84 3.36 2.99 3.04 2.99

(1) The null and alternative hypothesis would be:

a.H0:μN≥μD

H1:μN>μD.

b.H0:μN=μD

H1:μN≠μD.

c.H0:pN≥pD

H1:pN d.H0:pN=pD

H1:pN≠pD.

e.H0:μN≤μD

H1:μN<μD

f.H0:pN≤pD

H1:pN>pD.

(2) The test is:_______.

a. right-tailed.

b. two-tailed.

c. left-tailed.

(3) The sample consisted of 70 night students, with a sample mean GPA of 2.12 and a standard deviation of 0.08, and 70 day students, with a sample mean GPA of 2.08 and a standard deviation of 0.02

If you are saving 60% which is $54, what will the sale price of the Printer be?

A $60

B $54

C $36

D $90​

Answers

Answer:

the answer should be D.$90

Step-by-step explanation:

54 x .6 = 90

90 dollars (choice D)

work out m and c for the line y= 2x+1​

Answers

Answer:

m = 2, c = 1

Explanation: In the y = mx + b (or y = mx + c) format, the m is the slope of the line and the c/b is the y-intercept, or where the line crosses the y-axis. If we substitute the information from the given equation, y = 2x + 1, into the general formula, we know that the m is 2 and c is 1.

the percent change from 50 to 43

Answers

Hi, i believe it’s 7%. because 50-43= 7

Answer:

its not 7% btw

Step-by-step explanation:

I will give out 40 points for the four answers but if you just take the points and don't answer properly I will report you

Answers

Answer:

A:-3<x<13

B:-3=<x=<13

C:-3=<x<13

D:-3<x=<13

Step-by-step explanation:

Ok, first lets do A

-3 and -13 and the endpoints and the dots are hollow so its not including

therefore the answer is -3<x<13

next, B

same endpoint this time but both dots are filled in so they are included

therefore: -3=<x=<13

(I'm typing on a keyboard!!! i can't do the fancy symbols lol)

C

same endpoints again but -3 is black and 13 is not

so: -3=<x<13

D

I think you have got the hang of it now probaly

-3 is not filled and 13 is

answer is -3<x=<13

Hope this helps :)

A frustum of height 4 is part of a larger pyramid of height 6. What is the ratio of the volume of the frustum to the volume of the pyramid?

Answers

Answer:

26 : 27

Step-by-step explanation:

The volume of the pyramid with height of 6:

V = 1/3bh = 1/3b*6 = 2b,b is area of the base

The volume of the smaller pyramid is:

V₁ = 1/3*b₁h₁

We know:

h₁ = 6 - 4 = 2h₁/h = 2/6 = 1/3

The base sides have same ratio as similar triangles.

b₁ = (1/3)²b= b/9

The volume of smaller pyramid:

V₁ = 1/3*2*b/9 = 2b/27

The difference of the volumes is the volume of the frustum:

V₂ = V - V₁V₂ = 2b - 2b/27 = 52b/27

The ratio of V₂ to V is:

52b/27 ÷ 2b = 26/27

Solve for x using cross multiplication 3x - 3 5 = 2x – 2 4 x = [?]​

Answers

Answer:

x = -35/22, or 1.5909090...

Step-by-step explanation:

Solving for x will be easy enough, but cross multiplication won't be necessary as that's only applicable when division is involved:

35 = 2x - 24x

35 = -22x

x = -35/22, or 1.5909090...

10
TIME REMAINING
50:51
What are the solutions of x squared + 6 x minus 6 = 10?

Answers

Answer:

X = -8 and X = 2

Step-by-step explanation:

X^2 + 6X - 6 = 10

Bring the 10 over:

X^2 + 6x - 16 = 0

From here, either use the quadratic formula or

manual factorization by finding its roots:

Manually:

(X + 8)(X - 2) = 0

Equate each factor to 0 you will get:

X + 8 = 0  and X - 2 = 0

Solutions are -8 and 2 respectively.

The answer is X= -8 and x= 2

For what value of m is the expression x4+mx2+64 a perfect square?

Answers

Answer:

x^4 + 1/4 x^2 + 1/64 is a perfect square. 16x^4 + 4x^2 + 1/4 is a perfect square. (4x^2 + 1/2)^2. So you must add -3/4

Step-by-step explanation:

The value of m is the expression x⁴ + mx² + 64 a perfect square will be 16.

What is a perfect square trinomial?

A perfect square trinomial formulation can be created by taking the binomial equation's squared. If and then only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is indeed a perfect square.

The equation is given below.

⇒ x⁴ + mx² + 64

Then the value of a, b, and c will be 1, m, and 64, respectively. Then the equation will be given as,

b² = 4ac

m² = 4 x 1 x 64

m² = 265

m² = 16²

m = 16

The value of m is the expression x⁴ + mx² + 64 a perfect square will be 16.

More about the perfect square trinomial link is given below.

https://brainly.com/question/16615974

#SPJ2

How many integers satisfy each inequality?
-102

Answers

Answer:At integers -2 and -3 the value of the equation is zero, hence satisfies the inequality. So overall 4 integers satisfy the inequality.

i got 1 2 3 4 5 6 7 8 ems in my bank account

Step-by-step explanation:

If the graph of the second equation in the system passes through the points (-12, 20) and
(4, 12), which statement is true?

Answers

answer: the system had no solution

For each geometric sequence, write a recursive rupe by finding the common ratio by calculating the ratio of consecutive terms. Write an explicit rule for the sequence by writing each term as the product of the first term and a power of the common ratio.​

Answers

Answer:

3

Step-by-step explanation:

can someone help find me? i need to answer!!!!

Answers

B and E. Mark the brainiest please

help .........thanks

Answers

1.) b+4a
b= -5
a= -4
-5+4(-4)=
-5-16= -21

2.) xz-z
x= -2
z= -5
(-2)•(-5) -(-5)=
10+5=15

SOME ONE HELP PLEASE

Answers

Answer:

1 23/32

Step-by-step explanation:

hi, dont sweat it! i gotchu.

Use distributive property to write the expression in standard form 7 (4x - 5y - 2) Use the distributive property and collect like terms to create an equivalent expression 4x - 3 (x - 2y ) + (1/2) (6x - 8y)

Answers

resultado:

-2X+12Y

Step-by-step explanation:

28X-35Y-14

8X-6X+12Y+12X-16X

-2X+12Y

96 pencils come in a box. If 4 teachers share 3 boxes equally, how many pencils does each teacher receive-

Answers

Answer:

96 X 3 = 288

288/4 is 72

72 is the answer

Step-by-step explanation:

hope you have a great day

Choose two statements that are true for this expression.

6x^3-8x^2-40/y+21

A. The entire expression
B. There are three terms
C. There are four terms
D. The term -40/y is a ratio

Answers

Answer:

C and D

Step-by-step explanation:

A P E X verified

NEED HELP ASAP!!!!!!!!!

Answers

Answer:

i dont get it.....................................................................

Step-by-step explanation:

Dima’s mom went to the bakery and bought 18 donuts. 1/2 of the donuts were chocolate. Dima‛s family ate 1/3 of the chocolate donuts but didn‛t eat any other kind. What fraction of the donuts did they eat?

Answers

Answer:

They ate 1/6 of the donuts

Step-by-step explanation:

They bought 18 donuts. 1/2 of 18 is 9. 1/3 of 9 is 3. To find the fraction, divide 3 by 18. Simplify the fraction. You are left with 1/6.

HELP PLSSSSSSSSSSSSS Carin is going to paint walls of her room green. The green paint is too dark so she mixes it with white paint. She tries different mixtures. Which of the following will give the darkest green color?
A. 1 part green + 3 parts white
B. 2 parts green + 6 parts white
C. 3 parts green + 9 parts white
D. 4 parts green + 12 parts white
E. They will all be equally dark.

Answers

E. They will be equally dark because when all of those fractions are simplified they equal 1/3

PLEASE ITS URGENT I NEED HELP ..
PLEEEAASEEE !!!
I BEG YOU GUYS ...

Thanks for the help...

i actually put the answer AT RANDOM so pay no attention to it​

Answers

Answer:

the answer is 3 x 10^6

Step-by-step explanation:

The answer is D. Mainly because it’s the only answer in scientific notation
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