The stadium vending company finds that sales of hot dogs average 35,000 hot dogs per game when the hot dogs sell for $2.50 each. For each 25 cent increase in the price, the sales per game drop by 2000 hot dogs. Determine a function R x that models the total revenue per game, where x is the number of $0.25 increases in the price of a hot dog.

Answers

Answer 1

Answer:

A function R x that models the total revenue per game is as follows:

Rx = 87,5000 + 3,750x – 500x^2.

Step-by-step explanation:

Based on the information in the question, we have:

Rx = Total revenue per game

x = Number of $0.25 increases in the price of a hot dog

Average sales of hot dogs = 35,000

Effect of each 25 cent increase in the price on average sales = 35,000 - 2000x

Effect of each 25 cent increase in the price on selling price = 2.5 + 0.25x

Therefore, we have:

Rx = (35,000 - 2000x)(2.5 + 0.25x)

This can be solved further by opening the brackets as follows:

Rx = 87,5000 + 8,750x - 5,000x - 500x^2

Rx = 87,5000 + 3,750x – 500x^2

Therefore, a function R x that models the total revenue per game is Rx = 87,5000 + 3,750x – 500x^2.


Related Questions

HI CAN I GET SOMEONE TO HELP ME WITH MATH IM FAILING TY! :)

Answers

Answer:

20 square meters

Step-by-step explanation:

area = length x width

area of grass = 4 x 4 = 16

area of grass and cement = 6 x 6 = 36

Now you subtract to find the area of the cement.

36 - 16 = 20

Find the distance between points F and H.

Answers

Answer: 8

Since both are within the same “line”—just count the squares and that’ll be the distance
Just count the square but not the lines

25. The sides of the base of the square prism drawn below have been doubled, but its height has not been changed. Determine the ratio of the prism's new volume to its original volume.

A.8:1
B.2:1
C.4:1
D.16:1​

Answers

Do you have a picture to go with it

Answer:4:1

Step-by-step explanation:

PLZ HELP PLZ PLZ this is my last final plz

A restaurant sells soups and salads. Soup costs $5.50, and a salad costs $8. On a particular day, the restaurant sells 58 items and makes $371.50.
Which system of equations can be used to find the amount of soup, x, and salad, y, the restaurant sold?
OA
5.50x = 58
8y = 371.50
OB.
5.50x = Sy
58x = 371.50y
x + y = 58
Oc.
5.50x + 8y = 371.50
x+y = 371.50
OD.
5.50x + 8y = 58

Answers

Answer:

b

Step-by-step explanation:





The sixth-grade class is raising money to have a
class trip at the end of the year. They began the year
with $1,500. Now they have $1,650 in the account.
What is the percent increase for the money the class
has raised?

Answers

Answer:

There is a 10 percent increase

In a certain​ city, the average​ 20- to​ 29-year old man is 69.6 inches​ tall, with a standard deviation of 3.1 ​inches, while the average​ 20- to​ 29-year old woman is 64.1 inches​ tall, with a standard deviation of 3.9 inches. Who is relatively​ taller, a​ 75-inch man or a​ 70-inch woman?

Answers

Answer:

the 20-29 year old man are relatively taller.

Step-by-step explanation:

for the old man we have next z- score=75-69.6/3.1=1.74

for the old women we have next z-score=70-64.1/3.9=1.51

What is 787,452 rounded to the nearest ten thousand?

Answers

Answer:

790000

Step-by-step explanation:

Answer:

790,000

Step-by-step explanation:

HELLO CAN SOMEONE HELP ME WITH THIS! MATH IM FAILING NO FAKE ANSWERS PLZ!

Answers

Answer:

45 square ft^2

Step-by-step explanation: The formula of the area of the trapezoid is A=(a+b)/2 x h. A represents the top while b represents the bottom. 15+3=18 and 18/2=9. If multiply the result by 5, you get 45 as the answer.

A. G(X) > -6
B. All real numbers
C. G(X) < 0
D. G(X) < 10

Answers

Answer:

can't explain how but i'm confident the answer is:

A. G(X) > -6

Which equation is true?

Answers

Answer:

The third option

Step-by-step explanation:

[tex]\frac{-56}{8} = -7[/tex]

(-56/8)=-7 this is the correct equation because it’s just 56 divided by 8 (it’s 7) and the negative gets carried over

Write an equivalent expression for -24 + 54n.​

Answers

Answer:

30n

Step-by-step explanation:

-24+54=30×n=30n

I needed 20 more letters so ya lol

Answer:

-6 (4-9n)

Step-by-step explanation:

PLEASE ANSWER CORRECTLY WILL GIVE BRAINLIEST

Answers

Answer:

r = [tex]\sqrt{x} A/4\pi[/tex] , or the third option :)

Step-by-step explanation:

Answer:c

Step-by-step explanation:

6 There were 35 children and 10 adults at a cookout. What is the ratio of children to total people at the cookout?

Answers

7:9 because there are 35 children and 10 adults. Add 35 and 10 you get 35:45 then you simplify the ratio to get 7:9.

their sum is -11 and the difference is 41

Answers

Answer:

x+41=-11 I guess

Step-by-step explanation:

Given f(x) =
2 cos(7x), for x < -1
2
for x > -1
COS (1x)
What is lim f(x)?
X - - 1

Answers

Answer:

A

Step-by-step explanation:

We are given the function:

[tex]\displaystyle f(x) = \left\{ \begin{array}{ll} 2\cos(\pi x) \text{ for } x \leq -1 \\ \\ \displaystyle \frac{2}{\cos(\pi x)}\text{ for } x > -1 \end{array} \right.[/tex]

And we want to find:

[tex]\displaystyle \lim_{x\to -1}f(x)[/tex]

So, we need to determine whether or not the limit exists. In other words, we will find the two one-sided limits.

Left-Hand Limit:

[tex]\displaystyle \lim_{x\to-1^-}f(x)[/tex]

Since we are approaching from the left, we will use the first equation:

[tex]\displaystyle =\lim_{x\to -1^-}2\cos(\pi x)[/tex]

By direct substitution:

[tex]=2\cos(\pi (-1))=2\cos(-\pi)=2(-1)=-2[/tex]

Right-Hand Limit:

[tex]\displaystyle \lim_{x\to -1^+}f(x)[/tex]

Since we are approaching from the right, we will use the second equation:

[tex]=\displaystyle \lim_{x\to -1^+}\frac{2}{\cos(\pi x)}[/tex]

Direct substitution:

[tex]\displaystyle =\frac{2}{\cos(\pi (-1))}=\frac{2}{\cos(-\pi)}=\frac{2}{(-1)}=-2[/tex]

So, we can see that:

[tex]\displaystyle \displaystyle \lim_{x\to-1^-}f(x)=\displaystyle \lim_{x\to -1^+}f(x) =-2[/tex]

Since both the left- and right-hand limits exist and equal the same thing, we can conclude that:

[tex]\displaystyle \lim_{x \to -1}f(x)=-2[/tex]

Our answer is A.

Answer:

AAAAAAAAAAAAAAAAA

Step-by-step explanation: EDGE 2022

The scores of 10 golfers were 77; 74; 78; 72; 70; 85; 71; 76; 80; 70. Calculate the mean of the dataset.

Answers

Answer:

The mean should be 75.3.

Step-by-step explanation:

[tex]\frac{77+74+78+72+70+85+71+76+80+70}{10}\\\\\frac{753}{10}\\\\\boxed{75.3}[/tex]

Hope this helps!

2. Medication B is available in a liquid capsule of 150 mg per capsule. 600 mg/kg per
day is ordered for a child weighing 44 lbs. How many mgs should be given to this child
per day? How many capsules will the nurse administer to the child per day?

Answers

Answer:

12000 mg/day or 80 capsules

Step-by-step explanation:

First let's convert 44 lbs to kg. You could divide by 2.205 to get more precise answer but since 44 divides perfectly by 2.2 I don't think it's a coincidence it's meant to be rounded.

44/2.2=20 kg

600*20=12000 mg per day

12000/150=80 capsules

Seems a bit excessive but looking over my process I don't see any mistakes.

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The number of Internet users in Latin America grew from 40.8 million in 2009 to 85.6 million in 2016. Use the geometric mean to find
the annual growth rate. (Round your answer to 2 decimal places.)
2
points
Mean annual growth rate
S 02 21:50
References

Answers

OH WOW STEP BY STEP









CMON DAWG

HELP PLZZZ I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!


A survey found that 40% of shoppers at Max-a-mart like chocolate ice cream. If 20 shoppers like chocolate ice cream, how many people were surveyed?
a) 20

b) 30

c) 50

d) 100

Answers

The answer is C 50 people because if you multiply the 40 percent by 2 you get 40 people then you can divide the 40 percent and add it to the 80 percent to get 50 ( ik it’s a lot)
The answer there is 50

what is the answer to this?

Answers

Answer:

This is the answer:

330550=

A brochure from the department of public safety in a northern state recommends that motorists should carry 12 items (flashlights, blankets, and so forth) in their vehicles for emergency use while driving in winter. The following data give the number of items out of these 12 that were carried in their vehicles by 15 randomly selected motorists.
5.3 78 0 105 12 10 7 6 7 119
Find the mean, median, and mode for these data. Round your answers to two decimal places, where appropriate.
Mean items
Median items
Mode - items

Answers

Answer:

[tex]Mean = 6.07[/tex]

[tex]Median = 7[/tex]

[tex]Mode = 7[/tex]

Step-by-step explanation:

Given

[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]

[tex]n = 15[/tex]

Solving (a): The mean

Mean is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

This gives:

[tex]Mean = \frac{5+ 3+ 7+ 8+ 0+ 1+ 0+ 5+ 12+ 10+ 7+ 6+ 7+ 11+ 9}{15}[/tex]

[tex]Mean = \frac{91}{15}[/tex]

[tex]Mean = 6.07[/tex]

Solving (b): The median

Sort the data in ascending order:

[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]

[tex]Sorted: 0\ 0\ 1\ 3\ 5\ 5\ 6\ 7\ 7\ 7\ 8\ 9\ 10\ 11\ 12[/tex]

The median is:

[tex]Median = \frac{n + 1}{2}th[/tex]

[tex]Median = \frac{15 + 1}{2}th[/tex]

[tex]Median = \frac{16}{2}th[/tex]

[tex]Median = 8th[/tex]    

The 8th item on the sorted dataset is 7; So:

[tex]Median = 7[/tex]

Solving (c): The mode

[tex]Mode = 7[/tex]

Because it has a frequency of 3 (more than any other element of the dataset).

Write the equation in either slope-intercept or point-slope form for the
line that goes through (1,1) and (3,-5). *

Answers

Answer:

y = mx + b

m = (-5-1)/(3-1)

m = -3

1=(-3)1 + b

b= 4

y= -3x + 4

Which of the following statements best describes the difference between net income and gross profit? a. Gross profit considers operating expenses while net income does not. b. Net income considers operating expenses while gross profit does not. c. Gross profit deducts taxes while net income does not. d. Net income deducts taxes while gross profit does not. Please select the best answer from the choices provided A B C D

Answers

D. Yeah I’d say D since Gross profit does actually include operating expenses.

Answer:

its b

Step-by-step explanation:

edg 20/21

Rewrite the expression using exponents.
7 • 4 • 4 • 4

(Type whole numbers.)

Answers

Answer: 7×4³

Step-by-step explanation:

Answer:

7 x 4³

Step-by-step explanation:

using exponents to my understanding,

the answer vis supposed to be;

7 x 4³

Solve for r.

K=4r-7s

r=

Answers

Answer:

[tex]r=\frac{k+7s}{4}[/tex]

Step-by-step explanation:

HELPPP
PLLS
DUE RN



WILL


GIVE BRAINLIST



X
X
X
X

Answers

It’s the last one which is 33%

Answer:

33% of the people preferred onions

can i get brainliest now lol

18. If an apprentice can do a piece of work in 24 days, and the apprentice and
instructor together can do it in 6 days, how long would it take the instructor to do
the work alone?
18. If an apprentice can do a piece of work in 24 days, and the apprentice and
instructor together can do it in 6 days, how long would it take the instructor to do
the work alone?

Answers

Answer:

the number of days when instructor do the work alone is 8 days

Step-by-step explanation:

Given that

The apprentice can do the work in 24 days

And, the apprentice and  instructor together can do it in 6 days

We need to find out the number of days when instructor do the work alone

So,

[tex]= \frac{1}{6} - \frac{1}{24} \\\\= \frac{4 - 1}{24} \\\\= \frac{3}{24} \\\\= \frac{1}{8} \\\\= 8[/tex]

hence, the number of days when instructor do the work alone is 8 days

PLS HELP!
Find the volume of this triangular prism.
Be sure to include the correct unit in your answer.
6 cm
9 cm
K
5 cm

Answers

Answer:

135cm^3

Step-by-step explanation:

A point with a positive x-coordinate and a negative y-coordinate is reflected over the y-axis.
Which sentence describes the coordinates of the new point?

Answers

The x-coordinate is negative, and the y-coordinate is negative.

This is because the y-axis is vertical, so reflecting across it means you will change the sign of the x-value, and the sign of the y-value will stay constant. Since we start off with a positive x and negative y, we will end up with a negative x and negative y.

Pls help me pls pls I beg you

Answers

Answer:

3/32 in³

Step-by-step explanation:

To find the volume of a rectangular prism, multiply the length, width, and height.

[tex]\frac{3}{4} *\frac{1}{2} *\frac{1}{4} =\frac{3}{32}[/tex]

Therefore, the volume is 3/32 in³.

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