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
Kay [80]
2 years ago
7

Question

Mathematics
1 answer:
Marta_Voda [28]2 years ago
5 0

The equation that shows the profit earned for selling popcorn for x hours is y = $15m - $20

From the equation of the linear function given y = mx + b

y indicates the profit earned and x represents the time in hours.

From the question,

After 3 hours, the popcorn stand earned a profit of $25.

∴ The equation becomes $25 = 3m + b ------ (1)

and after 6 hours, the profit was $70.

∴ The equation becomes $70 = 6m + b ------- (2)

Now, we will solve the two equations simultaneously

From the first equation

$25 = 3m + b

We can write that

b = $25 - 3m ------- (3)

Substitute this into the second equation

$70 = 6m + b

We get

$70 = 6m + ($25 - 3m)

$70 = 6m + $25 - 3m

$70 - $25 = 6m - 3m

$45 = 3m

∴ m = $45 ÷ 3

m = $15

Now, substitute the value of m into equation (3)

b = $25 - 3m

b = $25 - 3($15)

b = $25 - $45

b = -$20

∴ m = $15 and b = -$20

Putting these values into the equation y = mx + b we get

y = $15m +(- $20)

∴ y = $15m - $20

Hence, the equation that shows the profit earned for selling popcorn for x hours is y = $15m - $20

Learn more here: brainly.com/question/19511111

You might be interested in
Consider the function f(x)=2x2+7x−30.<br><br> What are the zeros of the function?
Nimfa-mama [501]

Answer:

Zeroes are: (-6, 0) and (2.5, 0)

x= -6  &  x= 2.5

Step-by-step explanation:

I recommend using desmos for graphing problems!

5 0
2 years ago
2<br><img src="https://tex.z-dn.net/?f=2%29x%20-%205%29%20%2B%202%20-%203%285%20-%202x%29%20%3D%2016" id="TexFormula1" title="2)
fgiga [73]

Answer:

Step-by-step explanation:

2(x-5)+2-3(5-2x)=16​

2x-10+2-15+6x =16

8x-23 =16

8x =39

x = 39/8

6 0
3 years ago
If a = m 2 + 2, what is the value of a when m = -3? -7 -4 8 11
Ad libitum [116K]

<u>Given</u>

  • a = m(2) + 2
  • value of a when m = -3

<u>Substitute m with -3</u>

a = -3*2 + 2

a = -6 + 2

a = -4

<u>Answer</u>

The value of a when m = -3 is -4

7 0
3 years ago
Read 2 more answers
Loretta and her family are going on vacation. Their destination is 610 miles from their home. Loretta is going to share some of
alexandr402 [8]
Loretta:
Average driving speed = 55 mph
Time = 4 hours
Distance traveled = 55*4 = 220 miles

Dad:
Average driving speed = 65 mph
Let x =  hours driven
Distance traveled = 65x miles

The length of the trip is 610 miles, therefore
65x + 220 = 610
65x = 390
x = 6  hours

Answer: Loretta's dad drove for 6 hours.
7 0
3 years ago
F(x) = 4x+8<br> g(x) = x+3,<br> Find f(x)*g(x)
klemol [59]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • 20 POINTS!!!! write an example of an equation with variables on each side. state the steps you would use to isolate the variable
    12·1 answer
  • Danica wants to arrange her model cars in rows with exactly 6 cars in each row. She now has 23 model cars. What is the smallest
    15·1 answer
  • (<br> x<br> −<br> 3<br> )<br> (<br> x<br> −<br> 1<br> )<br> (x−3)(x−1)
    11·1 answer
  • kest kuy is offering a sale on its laptop computers with a 20 percent discount off its original price. there is 8% sales tax add
    14·1 answer
  • You lean a 30 foot ladder against your house and it reaches exactly to the top. The ladder makes a 24 degree angle with the grou
    6·1 answer
  • Point A is located at negitive 6 over 8 and point b is located at negitive 1 over 8
    13·1 answer
  • Math help algebra or algebra 2<br>1=k+14​
    11·2 answers
  • 65.656<br> 36,699<br> 33.335<br> +66,668
    7·1 answer
  • Determine whether it’s always, never, or sometimes true. <br> I put never true. Is that right?
    14·1 answer
  • Find and sketch the domain of the function. f(x,y)=√(4-x^2-y^2) +√(1-x^2)<br>​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!