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.
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.
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)
Please help! I’ll give brainleist!
Answers
Which of the following relationships represents joint variation?
Answers
Answer:
y=7x
Step-by-step explanation:
that what I heard in math ok
Simplify the expression -7+(-3)-(-5)
I NEED HELP ASAP
Answers
Answer:
It should be -5
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
Answers
Answer:
C
Step-by-step explanation:
Answer:
Step-by-step explanation:
your answer is C
What’s 9x38328292672
Answers
Answer:
344954634048
Step-by-step explanation:
Theres something called a caculator
Answer:
344954634048
Step-by-step explanation:
can i get brainliest
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
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
can someone help me with this
Answers
Answer:
The first one is 45 hours
The second is 1361
25.45
26.1361
y + 12 = y + 10 + 2
how many solutions does the equation have
Answers
Answer:
infinite
Step-by-step explanation:
Find the value of x.
Answers
Answer:
x=95°
Step-by-step explanation:
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.
(–6)² – (–7)²
I need a step by step process.
Answers
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
79.990 as a decimal??????? Help ASAP
Answers
Answer:
79.990 is a decimal
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!
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!
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:
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
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!
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:
I need help please! I worked it out but I’m not sure it’s correct
Answers
Answer:
Hi the picture I see is a black screen, mind sending it again?
Answer:
i would help but there's no picture just a black picture
Step-by-step explanation:
create at least 4 fractions that are equivalent to 4/7
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 is the image of the point (7, -5) after a rotation of 270°
counterclockwise about the origin?
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
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!
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.
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)