A football stadium is capable of seating a maximum of m fans. For each game, the
amount of money that the stadium brings in as revenue is a function of the number of
people, n, in attendance. If each ticket costs $30.00, what is the domain of this function?
Answers
Answer:
The revenue depends on the number of people n that purchases tickets, knowing that each ticket costs $30.00, the total revenue will be:
f(n) = $30.00*n
Now, we also know that the stadium is capable of seating a maximum of m fans, so the maximum possible value for n is m.
Now, for the function f(n), we have that:
The domain is the set of the possible values of n
The range is the set of the possible values of f(n).
We want to find the domain.
First, the minimum possible value of n is 0, the case where nobody purchases a ticket.
The maximum possible value of n is m, this is the case where the stadium is full.
Then the domain will be:
D= {n,m ∈ Z, 0 ≤ n ≤ m}
Where we imposed that n must be an integer number because n represents a whole quantity.
The domain of the function should be [tex]0\leq n\leq m[/tex] where n and m are integers because they represent the number of people.
Given information:
A football stadium is capable of seating a maximum of m fans.
People attending the game are n.
The cost of each ticket is $30.
The amount of money that the stadium brings in as revenue is a function of the number of people, n.
So, the money will be calculated based on the attendance of people which implies that n will be the independent variable of the function.
So, the revenue generated can be written as,
[tex]f(x)=30n[/tex]
Here, the value of n represents the domain of the function.
Now, the maximum number of people allowed in the stadium is m as there are only m seats.
Therefore, the domain of the function should be [tex]0\leq n\leq m[/tex] where n and m are integers because they represent the number of people.
For more details, refer to the link:
https://brainly.com/question/15099991
Related Questions
Solve the equation.
4n−18=5
Answers
Answer:
n = 5.75
Step-by-step explanation:
4(5.75) - 18 = 5
4(5.75) = 23
23 - 18 = 5
Therefore, n = 5.75.
Hope this helps:)
I would appreciate it if you gave me brainliest. Thanks.
Is 5.75
That’s because 18+5=23 and 23 divided by 4 equals 5.75 and to make sure. 5.75*4=23 23-18=5.
The length of a rectangle is 4 inches greater than the width. The perimeter of the rectangle is 24 inches. What are the dimensions of the rectangle
Answers
Answer:
L=8, W=4
Step-by-step explanation:
2L+2W=p
2(4)+2(8)=p
8+16=24
Answer:
length = 8 in.; width = 4 in
Step-by-step explanation:
What’s 9x38328292672
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Answer:
344954634048
Step-by-step explanation:
Theres something called a caculator
Answer:
344954634048
Step-by-step explanation:
can i get brainliest
y + 12 = y + 10 + 2
how many solutions does the equation have
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Answer:
infinite
Step-by-step explanation:
(–6)² – (–7)²
I need a step by step process.
Answers
Samson owes his friend
$42.75. If Samson just
got paid $167.25 and
pays back his friend.
How much money will
he have left over?
Answers
What slope is perpendicular to:
m = 5/8
Answers
The slope that is perpendicular to m = 5/8 is given by; m' = -8/5
When dealing with slope - intercept form of equation of a line, the general equation is;y = mx + c
where;
m is the slope
c is the y-intercept
Now, for a line to be perpendicular to a line above that has it's slope as m, the slope of this new line will be the negative inverse of the first slope. This is; m' = -1/mApplying that to our question, it means the slope that is perpendicular to m = 5/8 is; m' = -1/(5/8) = -8/5Read more at; https://brainly.com/question/21441448
Please help! I’ll give brainleist!
Answers
create at least 4 fractions that are equivalent to 4/7
Answers
Lucy owns a bakery. She has 2 cakes baked and can bake 4 cakes every
hour. Write an equation for the number of cakes baked, c, in h, hours. *
equation?
Answers
Answer:
c=4h+2
Step-by-step explanation:
you start of with 2 cakes and every hour you can bake 4
Ron’s class donated d dollars to a local charity. Danny’s class donated 21% more than Ron’s class. Which expression shows the amount Danny’s class donated in terms of the amount donated by Ron’s class?
A.
1.21d
B.
0.79d
C.
d + 0.79d
D.
d + 0.21
Answers
Answer:
+0.21
Step-by-step explanation:
Answer:
It is A
Step-by-step explanation:
Had This Question
Rita goes for a bike ride on a trail by her house. After 15 minutes of riding she sees a mile marker. When she reaches the third mile marker, she realizes that she has been biking for 30 minutes. What is the rate at which she is riding?
Answers
Given:
Rita covered 1 mile in 15 minutes.
She covered 3 miles in 30 minutes.
To find:
The rate at which she is riding.
Solution:
Let y be the number of miles covered in x minutes.
Rita covered 1 mile in 15 minutes. So, the point is (15,1).
She covered 3 miles in 30 minutes. So, the point is (30,3).
Slope of the line:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{3-1}{30-15}[/tex]
[tex]m=\dfrac{2}{15}[/tex]
Therefore, she is riding [tex]\dfrac{2}{15}[/tex] miles per minute.
the following table gives the number of people on the titanic by class and whether or not they survived gi
Answers
Answer:
Where’s the rest of the question ??
Step-by-step explanation:
Three times the difference of a number and 5 is the same as twice the number, decreased by 3. Find the number
Answers
Answer:
x = 12
Step-by-step explanation:
3 (x-5) = 2x - 3
3x -15 = 2x - 3
x-15 = -3
x = 12
check:
21 = 21
The number as decribed (Three times the difference of a number and 5 is the same as twice the number, decreased by 3) in the question is; 12
According to the question;
Three times the difference of a number and 5 is the same as twice the number, decreased by 3.The word problem can be written and solved as follows;
3(x - 5) = 2x -33x -15 = 2x -33x -2x = 15 -3x = 12Read more:
https://brainly.com/question/1640242
3 (6+4) +26² + (1+-4)2
Answers
Not to sure
Answer:
700
Step-by-step explanation:
3 times 10 plus 26 squared plus (1-4) times 2
= 3 times 10 plus 26 squared -3 times 2
=3 times 10 plus 676 minus 3 times 2
=30 plus 676 minus 6
=700!
PLEASE HELP ASAP! i’ll mark brainlest
Answers
Answer:
There are 15.748 inches in 40cm. Can I please have brainlest?
Step-by-step explanation:
Answer:
40cm
Step-by-step explanation:
If you are converting 40cm to one inch and the conversion ratio is 2.54 : 1, you would place 40 in the numerator as the original ration has 2.54/1 as a fraction and the same will apply to 40cm.
** This applies if you are finding which number is in the numerator and not the answer to how much 40cm in inches is.
pls help what's 9 divided by 7432
Answers
7432/9 = 825,7777777777778 = 825,8
Answer:
825.7 (the 7 is repeating)
Step-by-step explanation:
1. Divide
2. Multiply
3. Subtract
4. Bring down
Use these four steps to divide!
79.990 as a decimal??????? Help ASAP
Answers
Answer:
79.990 is a decimal
Angad,malachy and Jim share £30 in A ratio 1:3:1 how much does each person get
Answers
Answer:
Angad=6
Malachay=3×6=18
Jim=6
Step-by-step explanation:
Angad,malachy and Jim share =£30 ratio =1:3:1
Let the part of the Angad=X
=3x
=X
So X+3x+X=30
5x=30
X=30/5
X=6
So part of Angad=6
Malachay=3×6=18
Jim=6
Step-by-step explanation:
A:M:J
1:3:1
let total amt be 5x
5x = 30
x = 6
thus, A get 6dollars , M get 18 and J 6
Topic: ratio and proportions
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
can someone help me with this
Answers
Answer:
The first one is 45 hours
The second is 1361
25.45
26.1361
Need help please !!!
Will mark as brainliest!!!
Answers
Answer:
DW = 70
Given segments XW, YW, and ZW are perpendicular bisectors, the adjacent segments formed from the bisector are congruent.
All of your answers are correct, I checked!
Which of the following relationships represents joint variation?
Answers
Answer:
y=7x
Step-by-step explanation:
that what I heard in math ok
How to Rewrite 8 + 36 as a product of their GCF and the sum of two factors
Answers
Answer:
4 (2 + 9)
Step-by-step explanation:
Given expression:
8 + 36
The greatest common factor is the highest number that divides a number:
8 and 36 ;
Factors of 8 : 1,2,4, 8
36 : 1, 2, 3, 4, 9, 18, 36
The highest common factor is 4;
8 + 36 = 4 (2 + 9)
I will mark the brainiest! Please, and thanks! :)
(For the second one, just put it down on a piece of paper and upload a pic)
Answers
Simplify negative 3 over 4 divided by 2 over negative 8 . (1 point)
A.−6
B. −3
C. 3
D. 6
Answers
Answer:
Option B
Step-by-step explanation:
In order to find the answer to this question you need to use KCF and solve. Remember that negative times a positive equals a negative.
[tex]-\frac{3}{4} \div\frac{2}{8}[/tex]
Use KCF
[tex]-\frac{3}{4} \times\frac{8}{2}[/tex]
Multiply:
[tex]3 \times 8 =24[/tex]
[tex]4\times2=8[/tex]
Remember that negative times a positive equals a negative:
[tex]-\frac{24}{8}[/tex]
Simplify:
[tex]24\div8=3[/tex]
[tex]8\div8=1[/tex]
[tex]-\frac{3}{1} =-3[/tex]
[tex]=-3[/tex]
Hope this helps.
Find the value of x.
Answers
Answer:
x=95°
Step-by-step explanation:
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Answer:
Hi the picture I see is a black screen, mind sending it again?
Answer:
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Step-by-step explanation:
What is the image of the point (7, -5) after a rotation of 270°
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Answers
Answer:
It should be (-5,-7)
Step-by-step explanation:
I used a graphing calculator and turned it each degree till I reached 270
Simplify the expression -7+(-3)-(-5)
I NEED HELP ASAP
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Answer:
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Step-by-step explanation:
please help me yall i just wanna finish my hw and gts its due at 11:59 pm today I need help with question 14 i will mark u brainliestttt
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Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
your answer is C