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
zhannawk [14.2K]
3 years ago
14

David opened a coffee shop and sold 60 mochas the first day at $2 per cup. He wants to increase the price per cup to increase hi

s revenue. He found out that for every $0.25 increase, x, in the price per cup, the number of cups he sold decreased by 2 per day. How can David find the equation which represents his daily revenue, in dollars, from mocha sales when the price is increased x times?
Mathematics
2 answers:
elixir [45]3 years ago
8 0

Answer:

Multiply (60 − 2x) and (2 + 0.25x) to create the equation y = -0.5x2 + 11x + 120

Step-by-step explanation:

Here, x represents the times at which the price is increased,

Since, the original price of one cup = $ 2,

So, after increasing x times of $ 0.25, the new price of each cup = 2 + 0.25x,

Also, the original number of mochas = 60,

Given,

With increasing the price $ 0.25, x times, the number of cup is decreased by 2 times of x,

That is, the new number of mochas = 60 - 2x

Hence, the total revenue would be,

y = new price of each cup × new number of mochas

⇒ y = (2 + 0.25x)(60 - 2x)

⇒ y = 120 - 4x + 15x - 0.5x²

⇒ y = -0.5x² + 11x + 120

He can find find the equation which represents his daily revenue, by Multiplying (60 − 2x) and (2 + 0.25x) to create the equation y = -0.5x² + 11x + 120

Tom [10]3 years ago
5 0

Answer: Multiply (60 − 2x) and (2 + 0.25x) to create the equation y = -0.5x2 + 11x + 120

We know that David wants to increase the price per cup to increase his revenue. He found out that for every $0.25 grows( increase), x, in the price for each cup.

In the event of a price increase, 2 cups remain unsold, and doubling the cups is still not sold. Then the numbers are sold (60-2x). Depending on the choice:

Revenue= (60 -2x)(2 +0.25x)

60·2 +60·0.25x -2x·2 -2x·0.25x

= -0.5x² +11x +120

You might be interested in
Party favors are on sale for $2.50 each. You have $380 to spend on the decorations and gifts, and you have already spent $272 on
Alenkinab [10]

Answer:

we could buy 43 party favors

Step-by-step explanation:

initially we have an amount of $380

if we already spend an amount of $272 this we have to subtract it from the total

$380 - $272 = $108

if each party favor comes out $ 2.50 and we have $ 108 we have to divide what we have by what each one comes out to know how many we can buy

$108 / $2.50 = 43.2

this means we could buy 43 party favors

3 0
3 years ago
Read 2 more answers
Consider the diagram and the paragraph proof below.
Makovka662 [10]

Answer:

I don't know how I can help you but I found this from another person. Hope this helps!

4 0
2 years ago
Read 2 more answers
I need help to solve this multi step equation please give me the correct answer
kozerog [31]

Answer:

291 - 5y

Step-by-step explanation:

x- a measure of the fourth angle

The equation

x+60+(2y+8)+(3y+1)=360\qquad|\text{combine like terms}\\\\x+(2y+3y)+(60+8+1)=360\\\\x+5y+69=360\qquad|\text{subtract 5y and 69 from both sides}\\\\x=291-5y

6 0
3 years ago
Locate√3 on number line and jusitify​
alekssr [168]
Root3 would be between 1 and 2 on the number line. This is known because 1 squared is 1, and 2 squared is 4.
8 0
3 years ago
{ x + y = -2<br> { x - y = -8
g100num [7]

Answer:

(-5, 3)

Step-by-step explanation:

Elimination seems like the best method to use here.

x+y=-2

x-y=-8

---------

2x=-10

Divide everything by two

x=-5

Now plug it back into one of the original equations,

-5+y=-2

Add 5 to everything

y=3

7 0
3 years ago
Read 2 more answers
Other questions:
  • 33,210 divide by (-9)=
    7·2 answers
  • Find the perimeter of the polygon with the given vertices<br><br>G(2,4), H(2,-3), J(-2,-3), K(-2,4)
    9·1 answer
  • If b isn't the right answer, then what is?
    7·2 answers
  • Maria solved the equation -5 1/8n = -9 3/4 . Her answer was n = 1 37/41 . She is fairly confident about her answer, but wants to
    8·2 answers
  • Ezra is participating in a walk for charity. he knows hecan walk 3 miles in 45 minutes. at that rate, how long will it take ezra
    10·1 answer
  • The equation y + 6 = one-third (X minus 9) is written in point-slope form. What is the equation written in slope-intercept form?
    13·2 answers
  • Y= 3x+6; (4,7) in slop intercept form
    8·1 answer
  • Can someone please help me with this !
    5·1 answer
  • There are three 20.0 Ω resistors connected in series across a 120 V generator. What is the voltage drop across one of the resist
    9·2 answers
  • Guided Practice
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!