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
amm1812
3 years ago
8

Last year a banquet hall charged $65 per person to attend a function. The function C(p) = 65p represents the total cost, C, to r

ent the hall based on the number of people, p, that would attend the event. If the hall can hold a total of 50 people, what is the domain and range for this function?
Mathematics
1 answer:
zlopas [31]3 years ago
8 0

Answer:

Domain = [0, 50]

Range   = [0, 3250]

Step-by-step explanation:

A function shows the relationship between two variables (independent variable and dependent variable). The independent variable is a variable not dependent on any variable, it is the input of the function while the dependent variable is a variable dependent on other variable, it is the output of the function.

The domain of a function is the set of all input variables (independent variable) and the range of a function is the set of all output variables (dependent variables).

In the function C(p) = 65p, p is the independent variable and C(p) is the dependent variable.

Since the hall can hold a total of 50 people, the domain of the function = [0, 50]

C(0) = 65(0) = 0, C(50) = 65(50) = 3250

Hence, the range of the function = [0, 3250]

You might be interested in
Elena compró 34 de kilogramos de manzanas, 12 kilogramo de mangos y 2 kilogramos de naranjas. ¿Cuántos kilogramos de fruta compr
Oduvanchick [21]

Answer: 48 kilogramos de fruta

Step-by-step explanation:

Hola, para resolver este problema simplemente hay que sumar las cantidades de cada fruta:

Kilos de manzanas + kilos de mangos+ kilos de naranjas:

Matemáticamente hablando:

34+12+2 = 48 kg

Elena compro 48 kilogramos de fruta en total.

Si quedo alguna duda no dudes consultar con un comentario.

5 0
3 years ago
Suppose xy=−4 and dy/dt=−3. Find dx/dt when x=−1.
user100 [1]
When x=-1: \quad (-1)y=-4\qquad\to\qquad y=4\)

Ok that gives us a little more information.
If we implicitly differentiate with respect to t, from the very start, then we can apply our product rule, ya?

x'y+xy'=0

The right side is zero, derivative of a constant is zero.
Where x' is dx/dt and y' is dy/dt.

From here, plug in all the stuff you know:
y' = -3
x = -1
y = 4

and solve for x'.

Hope that helps!
4 0
3 years ago
A scale drawing of a patio is shown at right. The scale is 3 inches : 5.2 feet. What are the length and width of the patio? Find
ANTONII [103]

Answer:

The length is 5.2 and the width is 3 and the area is 15.6

Step-by-step explanation:

To get the area just multiply width by length

5 0
3 years ago
Read 2 more answers
The rule is applied to ΔABC. On a coordinate plane, 5 triangles are shown. Triangle A B C has points (2, negative 4), (4, negati
vfiekz [6]

Answer:

Consider triangle ABC with vertices at points A(2,-4), B(4,-4) and C(4,-2).

1. The rotation  acts with the rule:

Then:

2. The reflection across the y-axis has a rule:

So,

Triangle A''B''C'' is exactly the same as tiangle from figure 1.

Answer: correct choice is 1.

PLZ brainliest answer

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
H(t) = (t + 3) ^ 2 + 5
mash [69]

Answer:

If you are looking for the vertex then the answer is (-3, 5)

Step-by-step explanation:

Hope this works

3 0
4 years ago
Read 2 more answers
Other questions:
  • Darius has mowed 1/5 of his backyard. Which is a better estimate for how much of the lawn he has left to mow: almost all of the
    7·2 answers
  • A rectangle length was 4 feet longer than triple the length of it width
    8·1 answer
  • The table shows two cell phone plans that offer free minutes for given number of paid minutes used. Pablo has Plan A and Sam has
    10·1 answer
  • Which is the first step in simplifying 4(3x-2)+6x(2-1)
    10·2 answers
  • What is the measure of unit in slope of years and feet
    13·1 answer
  • Planes X and Y and points C, D, E, and F are shown.
    7·1 answer
  • Give an example of an odd function and explain algebraically why it is odd.
    10·1 answer
  • Which values from the set {2, 4, 6, 8, 10} make the inequality n + 5 > 10 true?
    15·2 answers
  • What is 1+1 ok that’s it
    15·1 answer
  • What is infant mortality rate?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!