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
TEA [102]
3 years ago
13

Suppose a certain outlet chain selling appliances has found that for one brand of stereo system, the monthly demand is 240 when

the price is $900. However, when the price is $850, the monthly demand is 315. Assuming that the demand function for this system is linear, write the equation for the demand function. Use p for price and q for quantity.
Mathematics
1 answer:
Doss [256]3 years ago
6 0

Answer: Therefore the demand function can be given as;

q = -3/2p + 1590

Step-by-step explanation:

Given that at;

$900 the monthly demand is 240. ....1

$850 the monthly demand is 315. ....2

Since, the function is a linear function. The demand function would be of the form;

q = mp + c ....5

Where q = quantity demanded

p = price m = slope and c = intercept

Substituting conditions 1 and 2 to the equation.

240 = 900m + c. ...3

315 = 850m+ c ...4

Subtracting eqn 4 from 3

-75 = 50m

m = -75/50

m = -3/2

Substituting m = -3/2 into equation 3;

We have,

240= -3/2(900) + c

c = 240 + 3/2(900)

c = 1590

Therefore the demand function can be given as; substituting m and c into equation 5, we have;

q = -3/2p + 1590

You might be interested in
Graph y = | x | + 5
Elanso [62]

Answer:

(0,5) (0,-5)

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Which reason justifies the statement below
algol13
A. Definition of Congruence
4 0
3 years ago
I need help with #5 please
Alika [10]

 

Distance from a point to a line (Coordinate Geometry)

Method 1: When the line is vertical or horizontal , the distance from a point to a vertical or horizontal line can be found by the simple difference of coordinates . Finding the distance from a point to a line is easy if the line is vertical or horizontal. We simply find the difference between the appropriate coordinates of the point and the line. In fact, for vertical lines, this is the only way to do it, since the other methods require the slope of the line, which is undefined for evrtical lines.

Method 2: (If you're looking for an equation) Distance = | Px - Lx |

Hope this helps!

4 0
2 years ago
What is the slope of the line that passes through the points (3,-5) and (1,-5)? Write in simplest form
Gre4nikov [31]

Answer:

The slope is apperently 5 and i rlly don't have a step-to-step explaintion but my teacher explained it and said it was 5 slopes.

Step-by-step explanation:

7 0
2 years ago
Marcus painted 1/3 of his bedroom in 4/5 of an hour. At this rate, how long would it take him the paint the entire room? I need
expeople1 [14]
So it took him 4/5 of an  hour to paint 1/3 
that means there is still 2/3 to go 
so that means that he will have two times that time to paint the rest of the room
<u>4/5</u>    = <u> ? </u>
1/3       2/3 

using cross multiplication

(4/5)(2/3) = (1/3) (?)
8/15 = 1/3 ?
divide both sides by 1/3
so that will be 8/5
that means it will take 8/5 of an hour to complete the rest 
or 12/5 total to do entire room

Hope this helps ;)
7 0
2 years ago
Other questions:
  • You own two vehicles. a car
    15·1 answer
  • What is the sum of a 56-term arithmetic sequence where the first term is 6 and the last term is 391?
    14·2 answers
  • I need help with this !!!!!!
    15·1 answer
  • Translation of the length of a rectangle is 2 feet greater than twice its width. If the perimeter is 25 feet, fine the width
    7·1 answer
  • What is 4x-8=9y-5 in standard form
    7·1 answer
  • What does 迪兹坚果 mean?​
    5·1 answer
  • What is 8.478 in expanded form?
    5·2 answers
  • Find four rational numbers between -5 and 8​
    12·1 answer
  • Let f(x)=3x^2-6x+5 what is the leading coefficient<br>​
    12·1 answer
  • Dan makes $72 working 8<br> hours. How much does he<br> make per hour?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!